Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864cu |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1.1569316228981E+19 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1377504,643900160] |
[a1,a2,a3,a4,a6] |
Generators |
[-667:35574:1] [656:4704:1] |
Generators of the group modulo torsion |
j |
-338608873/13552 |
j-invariant |
L |
13.672662072554 |
L(r)(E,1)/r! |
Ω |
0.22470552470205 |
Real period |
R |
3.8029388938765 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11858bm1 13552r1 8624u1 |
Quadratic twists by: -4 -7 -11 |