Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694h |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14826240 |
Modular degree for the optimal curve |
Δ |
-1.2463958397987E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11+ 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-94975806,356224915116] |
[a1,a2,a3,a4,a6] |
Generators |
[-7089:824106:1] |
Generators of the group modulo torsion |
j |
-49258558427/648 |
j-invariant |
L |
2.6931786757695 |
L(r)(E,1)/r! |
Ω |
0.13967163097138 |
Real period |
R |
4.8205541013473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000229044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122694bx1 122694bw1 |
Quadratic twists by: -11 13 |