Atkin-Lehner |
2- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
72512o |
Isogeny class |
Conductor |
72512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19840 |
Modular degree for the optimal curve |
Δ |
-7468736 = -1 · 26 · 11 · 1032 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 11+ -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-657,6269] |
[a1,a2,a3,a4,a6] |
Generators |
[4:61:1] [28:103:1] |
Generators of the group modulo torsion |
j |
-490795651072/116699 |
j-invariant |
L |
9.4765065466597 |
L(r)(E,1)/r! |
Ω |
2.2887439777355 |
Real period |
R |
2.0702417218487 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72512l1 18128e1 |
Quadratic twists by: -4 8 |