Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800k |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
33379290000000000 = 210 · 34 · 510 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-435408,-110089188] |
[a1,a2,a3,a4,a6] |
Generators |
[20762:2990000:1] |
Generators of the group modulo torsion |
j |
570550302376996/2086205625 |
j-invariant |
L |
4.2387645202674 |
L(r)(E,1)/r! |
Ω |
0.18589635362038 |
Real period |
R |
5.7004405748626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000124284 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360w2 |
Quadratic twists by: 5 |