Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94050ea |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
86417254687500 = 22 · 37 · 58 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15305,579197] |
[a1,a2,a3,a4,a6] |
Generators |
[15:586:1] |
Generators of the group modulo torsion |
j |
1392225385/303468 |
j-invariant |
L |
11.90000591962 |
L(r)(E,1)/r! |
Ω |
0.5716525889774 |
Real period |
R |
1.7347374597957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31350w1 94050z1 |
Quadratic twists by: -3 5 |