Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550ix |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-584896414857300 = -1 · 22 · 38 · 52 · 74 · 135 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25138,-1927528] |
[a1,a2,a3,a4,a6] |
Generators |
[188:-88:1] |
Generators of the group modulo torsion |
j |
-29267443515625/9744213492 |
j-invariant |
L |
12.955131340258 |
L(r)(E,1)/r! |
Ω |
0.18642977842648 |
Real period |
R |
4.3431672526692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550cf1 95550hm1 |
Quadratic twists by: 5 -7 |