Atkin-Lehner |
2- 7- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69874j |
Isogeny class |
Conductor |
69874 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1.7913426731553E+21 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51097234,-140559164399] |
[a1,a2,a3,a4,a6] |
Generators |
[12707505:-1511898697:729] |
Generators of the group modulo torsion |
j |
125408692104005688400737/15226161490155392 |
j-invariant |
L |
10.931328544884 |
L(r)(E,1)/r! |
Ω |
0.056468125522494 |
Real period |
R |
6.9137161419377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9982c4 |
Quadratic twists by: -7 |