Atkin-Lehner |
2+ 3- 7+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113274q |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3078735906290688 = 210 · 312 · 7 · 292 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -2 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-348615,-79093827] |
[a1,a2,a3,a4,a6] |
Generators |
[100470:1528293:125] |
Generators of the group modulo torsion |
j |
6427396527070685041/4223231695872 |
j-invariant |
L |
6.4422462085395 |
L(r)(E,1)/r! |
Ω |
0.19648531960032 |
Real period |
R |
4.098427212294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999428918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37758p2 |
Quadratic twists by: -3 |