Atkin-Lehner |
2+ 3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15510d |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
7210670141268000 = 25 · 320 · 53 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11030564,14099909762] |
[a1,a2,a3,a4,a6] |
Generators |
[1920:-767:1] |
Generators of the group modulo torsion |
j |
148428333659384077833918649/7210670141268000 |
j-invariant |
L |
3.8396780366066 |
L(r)(E,1)/r! |
Ω |
0.31310770703621 |
Real period |
R |
2.4526244166597 |
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 |
124080bi4 46530bf4 77550bb4 |
Quadratic twists by: -4 -3 5 |