Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960bq |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
85377600 = 26 · 32 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-386,2760] |
[a1,a2,a3,a4,a6] |
Generators |
[4:36:1] |
Generators of the group modulo torsion |
j |
99639211456/1334025 |
j-invariant |
L |
6.8221679044984 |
L(r)(E,1)/r! |
Ω |
1.9229934914344 |
Real period |
R |
1.7738406122763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36960b1 73920bn2 110880bv1 |
Quadratic twists by: -4 8 -3 |