Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
1110n |
Isogeny class |
Conductor |
1110 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
-28962038218752000 = -1 · 233 · 36 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-83396,-12375024] |
[a1,a2,a3,a4,a6] |
j |
-64144540676215729729/28962038218752000 |
j-invariant |
L |
3.0243671864347 |
L(r)(E,1)/r! |
Ω |
0.13747123574703 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8880n1 35520l1 3330k1 5550b1 |
Quadratic twists by: -4 8 -3 5 |