Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1530a |
Isogeny class |
Conductor |
1530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
52282968750000 = 24 · 39 · 510 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 2 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37410,-2753884] |
[a1,a2,a3,a4,a6] |
j |
294172502025843/2656250000 |
j-invariant |
L |
0.68693987239561 |
L(r)(E,1)/r! |
Ω |
0.34346993619781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12240be2 48960bc2 1530j2 7650bl2 |
Quadratic twists by: -4 8 -3 5 |