Atkin-Lehner |
2- 3+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
37488s |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-471502958256 = -1 · 24 · 312 · 11 · 712 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17249,-866856] |
[a1,a2,a3,a4,a6] |
j |
-35474858654973952/29468934891 |
j-invariant |
L |
1.8745514078664 |
L(r)(E,1)/r! |
Ω |
0.20828348976403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9372d1 112464v1 |
Quadratic twists by: -4 -3 |