Atkin-Lehner |
3- 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
75705ba |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
1589805 = 32 · 5 · 73 · 103 |
Discriminant |
Eigenvalues |
2 3- 5- 7- -4 7 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-30,11] |
[a1,a2,a3,a4,a6] |
j |
8998912/4635 |
j-invariant |
L |
9.4180864594517 |
L(r)(E,1)/r! |
Ω |
2.3545216161762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75705i1 |
Quadratic twists by: -7 |