Atkin-Lehner |
2+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
91840r |
Isogeny class |
Conductor |
91840 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-367360000000 = -1 · 214 · 57 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 4 -4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3365,-81725] |
[a1,a2,a3,a4,a6] |
Generators |
[70:175:1] |
Generators of the group modulo torsion |
j |
-257269341184/22421875 |
j-invariant |
L |
5.1270454385271 |
L(r)(E,1)/r! |
Ω |
0.31185832744039 |
Real period |
R |
2.3486147376098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91840bs1 11480e1 |
Quadratic twists by: -4 8 |