Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30492h |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6404042263719082752 = 28 · 39 · 72 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-722007,202325310] |
[a1,a2,a3,a4,a6] |
j |
4662947952/717409 |
j-invariant |
L |
0.91142609971956 |
L(r)(E,1)/r! |
Ω |
0.22785652492992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968cw2 30492g2 2772b2 |
Quadratic twists by: -4 -3 -11 |