Atkin-Lehner |
2- 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
58100m |
Isogeny class |
Conductor |
58100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-25418750000 = -1 · 24 · 58 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -4 4 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,667,4088] |
[a1,a2,a3,a4,a6] |
Generators |
[8:100:1] |
Generators of the group modulo torsion |
j |
5242880/4067 |
j-invariant |
L |
6.2281334798852 |
L(r)(E,1)/r! |
Ω |
0.76544954243687 |
Real period |
R |
1.3560949338651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58100l1 |
Quadratic twists by: 5 |