Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3630g |
Isogeny class |
Conductor |
3630 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
8448952893795532800 = 216 · 37 · 52 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1402514,-623939164] |
[a1,a2,a3,a4,a6] |
j |
129392980254539/3583180800 |
j-invariant |
L |
1.945518721501 |
L(r)(E,1)/r! |
Ω |
0.13896562296436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29040bu1 116160bi1 10890bx1 18150bu1 |
Quadratic twists by: -4 8 -3 5 |