Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
930b |
Isogeny class |
Conductor |
930 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
-148800000 = -1 · 29 · 3 · 55 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 3 -2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-203,-1347] |
[a1,a2,a3,a4,a6] |
j |
-932288503609/148800000 |
j-invariant |
L |
0.62650470318053 |
L(r)(E,1)/r! |
Ω |
0.62650470318053 |
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 |
7440t1 29760bk1 2790bc1 4650bo1 |
Quadratic twists by: -4 8 -3 5 |