Atkin-Lehner |
2+ 3+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
126582k |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6609600 |
Modular degree for the optimal curve |
Δ |
-2.1336142506339E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 4 -3 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3208906,210527472] |
[a1,a2,a3,a4,a6] |
Generators |
[25327198:2739655086:2197] |
Generators of the group modulo torsion |
j |
523845376921367/305861301612 |
j-invariant |
L |
5.0391746014734 |
L(r)(E,1)/r! |
Ω |
0.088647979944643 |
Real period |
R |
14.211194022612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126582p1 |
Quadratic twists by: 17 |