Atkin-Lehner |
2+ 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7378d |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
285363712442368 = 214 · 7 · 174 · 313 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ -2 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16675,-158187] |
[a1,a2,a3,a4,a6] |
j |
512785681542817929/285363712442368 |
j-invariant |
L |
1.3519340703996 |
L(r)(E,1)/r! |
Ω |
0.45064469013319 |
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 |
59024p1 66402bm1 51646m1 125426e1 |
Quadratic twists by: -4 -3 -7 17 |