Atkin-Lehner |
3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475ch |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
171072000 |
Modular degree for the optimal curve |
Δ |
-558459000657421875 = -1 · 39 · 58 · 116 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 2 11- 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-415375641750,-103040901934212969] |
[a1,a2,a3,a4,a6] |
Generators |
[2764767823607745192222489865664930902203245794051747198:3103035105833533560091184072084250134700884872448379200753:1764638636838635937316319409032567403207764917688] |
Generators of the group modulo torsion |
j |
-27832949070669005254114225192960/1961118027 |
j-invariant |
L |
5.953009346702 |
L(r)(E,1)/r! |
Ω |
0.0029734408438396 |
Real period |
R |
83.419199889743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825y1 101475bq1 |
Quadratic twists by: -3 5 |