Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94050eb |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
5.2194274128691E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21601805,-37042489803] |
[a1,a2,a3,a4,a6] |
Generators |
[-2545:-36744:1] |
Generators of the group modulo torsion |
j |
3914770025721578665/183288534663168 |
j-invariant |
L |
9.467726313624 |
L(r)(E,1)/r! |
Ω |
0.070231980909579 |
Real period |
R |
0.40120976959355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31350i1 94050y1 |
Quadratic twists by: -3 5 |