Atkin-Lehner |
2+ 3- 5- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370p |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
440 |
Product of Tamagawa factors cp |
Δ |
1.8787047507538E+34 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-273604979799,54689000150203443] |
[a1,a2,a3,a4,a6] |
Generators |
[358957:-52411041:1] |
Generators of the group modulo torsion |
j |
3107192618741063729793283919798399089/25770984235306531957959082031250 |
j-invariant |
L |
5.72953543228 |
L(r)(E,1)/r! |
Ω |
0.01229166668432 |
Real period |
R |
4.2375608688685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790t2 |
Quadratic twists by: -3 |