Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690bo |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
7348599488102400 = 214 · 314 · 52 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24378557,46335859589] |
[a1,a2,a3,a4,a6] |
Generators |
[2847:-1064:1] |
Generators of the group modulo torsion |
j |
2197961868637780271747209/10080383385600 |
j-invariant |
L |
10.024326982359 |
L(r)(E,1)/r! |
Ω |
0.28231934188688 |
Real period |
R |
0.63405446390714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230p2 |
Quadratic twists by: -3 |