Atkin-Lehner |
2+ 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15272b |
Isogeny class |
Conductor |
15272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
216832 |
Modular degree for the optimal curve |
Δ |
-229679535576202928 = -1 · 24 · 232 · 837 |
Discriminant |
Eigenvalues |
2+ -1 -2 3 5 0 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-585879,-173945780] |
[a1,a2,a3,a4,a6] |
Generators |
[13470088:542064046:6859] |
Generators of the group modulo torsion |
j |
-1390043097747102226432/14354970973512683 |
j-invariant |
L |
4.175847126677 |
L(r)(E,1)/r! |
Ω |
0.08622836648264 |
Real period |
R |
12.106941419091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30544h1 122176h1 |
Quadratic twists by: -4 8 |