Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94050de |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
2334720 |
Modular degree for the optimal curve |
Δ |
-137295544320000000 = -1 · 220 · 36 · 57 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-844355,299374147] |
[a1,a2,a3,a4,a6] |
Generators |
[-841:20770:1] [259:-10030:1] |
Generators of the group modulo torsion |
j |
-5844547788286689/12053381120 |
j-invariant |
L |
14.951998135457 |
L(r)(E,1)/r! |
Ω |
0.32815635488095 |
Real period |
R |
0.28477275225263 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450a1 18810j1 |
Quadratic twists by: -3 5 |