Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114996a |
Isogeny class |
Conductor |
114996 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
787968 |
Modular degree for the optimal curve |
Δ |
6028553925454032 = 24 · 34 · 72 · 377 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -4 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45633,366030] |
[a1,a2,a3,a4,a6] |
j |
256000000/146853 |
j-invariant |
L |
1.4538293882729 |
L(r)(E,1)/r! |
Ω |
0.36345729131104 |
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 |
3108b1 |
Quadratic twists by: 37 |