Atkin-Lehner |
3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30225f |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
619706953125 = 39 · 57 · 13 · 31 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 6 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-15283,731343] |
[a1,a2,a3,a4,a6] |
j |
25267247939584/39661245 |
j-invariant |
L |
1.8266508484971 |
L(r)(E,1)/r! |
Ω |
0.91332542424798 |
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 |
90675v1 6045i1 |
Quadratic twists by: -3 5 |