Atkin-Lehner |
2- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
31046k |
Isogeny class |
Conductor |
31046 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-2233706549248 = -1 · 212 · 193 · 433 |
Discriminant |
Eigenvalues |
2- 0 -4 3 -2 -6 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,863,71025] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-858:1] |
Generators of the group modulo torsion |
j |
10374495741/325660672 |
j-invariant |
L |
5.7761817515038 |
L(r)(E,1)/r! |
Ω |
0.61898723414391 |
Real period |
R |
0.12960646379019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31046c1 |
Quadratic twists by: -19 |