Atkin-Lehner |
2- 3+ 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274ba |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
421800527593872 = 24 · 38 · 78 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63529,-6109945] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:316:1] [-139:312:1] |
Generators of the group modulo torsion |
j |
28355688518584701457/421800527593872 |
j-invariant |
L |
8.9580775620552 |
L(r)(E,1)/r! |
Ω |
0.30098706588385 |
Real period |
R |
7.4405834813446 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822g4 |
Quadratic twists by: -3 |