Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690bh |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-325512380160 = -1 · 28 · 37 · 5 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1148,31551] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:201:1] |
Generators of the group modulo torsion |
j |
-229333309561/446519040 |
j-invariant |
L |
8.3648500913159 |
L(r)(E,1)/r! |
Ω |
0.85933939448818 |
Real period |
R |
0.60837794014858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230i1 |
Quadratic twists by: -3 |