Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42834j |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456000 |
Modular degree for the optimal curve |
Δ |
2.5820185479991E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35079959,-79986018603] |
[a1,a2,a3,a4,a6] |
Generators |
[-15361390527144420881326780071258:5121883171320686257093017404589:4494568154187158604499769533] |
Generators of the group modulo torsion |
j |
2694913635715921176913/14574821572608 |
j-invariant |
L |
5.0135572357582 |
L(r)(E,1)/r! |
Ω |
0.062034734052653 |
Real period |
R |
40.409274838703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502bu1 3894k1 |
Quadratic twists by: -3 -11 |