Atkin-Lehner |
2+ 3+ 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650j |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4364452428750000000 = 27 · 34 · 510 · 23 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31813025,69051283125] |
[a1,a2,a3,a4,a6] |
Generators |
[27550:136075:8] |
Generators of the group modulo torsion |
j |
227886504928446989683729/279324955440000 |
j-invariant |
L |
4.3162087022018 |
L(r)(E,1)/r! |
Ω |
0.20760617228167 |
Real period |
R |
2.5987959822385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530be4 |
Quadratic twists by: 5 |