Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3696bb |
Isogeny class |
Conductor |
3696 |
Conductor |
∏ cp |
175 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-1273401193092336 = -1 · 24 · 35 · 75 · 117 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25158,775719] |
[a1,a2,a3,a4,a6] |
Generators |
[63:1617:1] |
Generators of the group modulo torsion |
j |
110056273881297152/79587574568271 |
j-invariant |
L |
3.6600041763202 |
L(r)(E,1)/r! |
Ω |
0.30779087965201 |
Real period |
R |
0.067949737830497 |
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 |
924a1 14784bz1 11088bs1 92400dq1 |
Quadratic twists by: -4 8 -3 5 |