Atkin-Lehner |
2+ 3- 5+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
92430k |
Isogeny class |
Conductor |
92430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
19991333466000 = 24 · 36 · 53 · 133 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52440,4630256] |
[a1,a2,a3,a4,a6] |
Generators |
[140:64:1] |
Generators of the group modulo torsion |
j |
21877056646778241/27422954000 |
j-invariant |
L |
4.678408507077 |
L(r)(E,1)/r! |
Ω |
0.68235779652275 |
Real period |
R |
3.428119772034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10270f1 |
Quadratic twists by: -3 |