Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960h |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-21954240 = -1 · 26 · 34 · 5 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14,220] |
[a1,a2,a3,a4,a6] |
Generators |
[4:18:1] [20:90:1] |
Generators of the group modulo torsion |
j |
4410944/343035 |
j-invariant |
L |
7.3846984140101 |
L(r)(E,1)/r! |
Ω |
1.6407065092784 |
Real period |
R |
2.2504629475929 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960p1 73920il2 110880dx1 |
Quadratic twists by: -4 8 -3 |