Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690bh |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1191139052400 = 24 · 38 · 52 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23468,1388607] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:1503:1] |
Generators of the group modulo torsion |
j |
1960681599548281/1633935600 |
j-invariant |
L |
8.3648500913159 |
L(r)(E,1)/r! |
Ω |
0.85933939448818 |
Real period |
R |
0.30418897007429 |
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 |
10230i2 |
Quadratic twists by: -3 |