Atkin-Lehner |
2+ 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7770g |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
-1.0643549045391E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3821247,2877808581] |
[a1,a2,a3,a4,a6] |
j |
-6170768047181777430174841/10643549045391360000 |
j-invariant |
L |
0.91223933255647 |
L(r)(E,1)/r! |
Ω |
0.22805983313912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160cv1 23310bi1 38850ct1 54390q1 |
Quadratic twists by: -4 -3 5 -7 |