Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520ck |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-1198420712640 = -1 · 26 · 317 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -3 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61482,5867966] |
[a1,a2,a3,a4,a6] |
Generators |
[17945:2187:125] |
Generators of the group modulo torsion |
j |
-550884013682176/25686315 |
j-invariant |
L |
7.6374415449331 |
L(r)(E,1)/r! |
Ω |
0.81457767769372 |
Real period |
R |
2.3439881035295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520cn1 41760g1 27840q1 |
Quadratic twists by: -4 8 -3 |