Atkin-Lehner |
2- 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
56560r |
Isogeny class |
Conductor |
56560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7299072 |
Modular degree for the optimal curve |
Δ |
-6.2407280756398E+22 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 0 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-195994960,-1056128415808] |
[a1,a2,a3,a4,a6] |
j |
-203281790492611004040069841/15236152528417587200 |
j-invariant |
L |
1.9367680554294 |
L(r)(E,1)/r! |
Ω |
0.020174667228189 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7070g1 |
Quadratic twists by: -4 |