Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800dl |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
4964250291131250000 = 24 · 39 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56246283,162344885688] |
[a1,a2,a3,a4,a6] |
Generators |
[4428:11250:1] |
Generators of the group modulo torsion |
j |
1950665639360512/492075 |
j-invariant |
L |
7.8400031854055 |
L(r)(E,1)/r! |
Ω |
0.19390969466726 |
Real period |
R |
2.2461782185071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400m1 11760g1 58800bg1 |
Quadratic twists by: -4 5 -7 |