Atkin-Lehner |
2+ 5+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15370b |
Isogeny class |
Conductor |
15370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-679515598950400 = -1 · 212 · 52 · 292 · 534 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 6 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13360,1101056] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:816:1] |
Generators of the group modulo torsion |
j |
263708908499945511/679515598950400 |
j-invariant |
L |
3.1478853527413 |
L(r)(E,1)/r! |
Ω |
0.35685743658931 |
Real period |
R |
2.2052821589116 |
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 |
122960i2 76850g2 |
Quadratic twists by: -4 5 |