Atkin-Lehner |
2- 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15096f |
Isogeny class |
Conductor |
15096 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3638938647315456 = 210 · 38 · 172 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-628392,191919420] |
[a1,a2,a3,a4,a6] |
Generators |
[252818985:-1032389064:614125] |
Generators of the group modulo torsion |
j |
26798864258584160932/3553651022769 |
j-invariant |
L |
5.1082616613308 |
L(r)(E,1)/r! |
Ω |
0.42737126404501 |
Real period |
R |
11.952749496964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30192i2 120768bp2 45288c2 |
Quadratic twists by: -4 8 -3 |