Atkin-Lehner |
3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25575a |
Isogeny class |
Conductor |
25575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1595640234375 = 32 · 58 · 114 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11+ -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3188,-34594] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:202:1] |
Generators of the group modulo torsion |
j |
229333309561/102120975 |
j-invariant |
L |
2.9784253231638 |
L(r)(E,1)/r! |
Ω |
0.66219139549595 |
Real period |
R |
1.1244578770663 |
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 |
76725t2 5115h2 |
Quadratic twists by: -3 5 |