Atkin-Lehner |
2- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53360k |
Isogeny class |
Conductor |
53360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3369600 |
Modular degree for the optimal curve |
Δ |
7.5909654415662E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7344008,-7544771793] |
[a1,a2,a3,a4,a6] |
Generators |
[776084170632782:52946806234424375:127871714872] |
Generators of the group modulo torsion |
j |
2737809040961484623314944/47443534009788453125 |
j-invariant |
L |
5.341599377747 |
L(r)(E,1)/r! |
Ω |
0.091806379253465 |
Real period |
R |
19.394437950898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999931 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13340a1 |
Quadratic twists by: -4 |