Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
107604t |
Isogeny class |
Conductor |
107604 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
459388044718848 = 28 · 36 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -3 -4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68943,6890870] |
[a1,a2,a3,a4,a6] |
j |
4812208/61 |
j-invariant |
L |
3.1722112623153 |
L(r)(E,1)/r! |
Ω |
0.5287018796603 |
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 |
11956d1 107604ba1 |
Quadratic twists by: -3 -7 |