Atkin-Lehner |
2+ 7+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
92414a |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
87264 |
Modular degree for the optimal curve |
Δ |
-175077121618 = -1 · 2 · 74 · 232 · 413 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 0 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,954,16706] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:841:8] [88:841:1] |
Generators of the group modulo torsion |
j |
40052618375/72918418 |
j-invariant |
L |
6.3657967726102 |
L(r)(E,1)/r! |
Ω |
0.69776427786755 |
Real period |
R |
4.561566831665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
92414b1 |
Quadratic twists by: -7 |