Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37030b |
Isogeny class |
Conductor |
37030 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3716034560 = -1 · 212 · 5 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -3 2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-529,5476] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-38:1] [14:22:1] |
Generators of the group modulo torsion |
j |
-30864153721/7024640 |
j-invariant |
L |
7.0338006819623 |
L(r)(E,1)/r! |
Ω |
1.3367009390719 |
Real period |
R |
2.6310300518107 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37030k2 |
Quadratic twists by: -23 |