Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
42350b |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-36106074018437500 = -1 · 22 · 57 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-151817,-24497159] |
[a1,a2,a3,a4,a6] |
Generators |
[1140:35249:1] |
Generators of the group modulo torsion |
j |
-10503459/980 |
j-invariant |
L |
2.8396907412804 |
L(r)(E,1)/r! |
Ω |
0.12029293529379 |
Real period |
R |
5.9016157813888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470w1 42350cd1 |
Quadratic twists by: 5 -11 |