Atkin-Lehner |
2- 3+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25116a |
Isogeny class |
Conductor |
25116 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3364338432 = 28 · 3 · 72 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 13+ 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-684,-6072] |
[a1,a2,a3,a4,a6] |
Generators |
[41:182:1] |
Generators of the group modulo torsion |
j |
138448046032/13141947 |
j-invariant |
L |
3.3072104367265 |
L(r)(E,1)/r! |
Ω |
0.93911718964929 |
Real period |
R |
1.7608081681273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464ca2 75348a2 |
Quadratic twists by: -4 -3 |