Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71136be |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
335872 |
Modular degree for the optimal curve |
Δ |
38964861089856 = 26 · 310 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86709,9822940] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:3420:1] [92:1620:1] |
Generators of the group modulo torsion |
j |
1545285546900928/835152201 |
j-invariant |
L |
10.457140825316 |
L(r)(E,1)/r! |
Ω |
0.63899558093239 |
Real period |
R |
8.1824828976405 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71136h1 23712h1 |
Quadratic twists by: -4 -3 |