Atkin-Lehner |
2- 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150bp |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-240015380859375000 = -1 · 23 · 3 · 515 · 11 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2662,23572031] |
[a1,a2,a3,a4,a6] |
j |
133511182631/15360984375000 |
j-invariant |
L |
4.4568161034132 |
L(r)(E,1)/r! |
Ω |
0.24760089462614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230o2 |
Quadratic twists by: 5 |