Atkin-Lehner |
2+ 3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30690h |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2461031100000000 = 28 · 38 · 58 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-384795,-91746779] |
[a1,a2,a3,a4,a6] |
Generators |
[-355:326:1] |
Generators of the group modulo torsion |
j |
8643409304552633521/3375900000000 |
j-invariant |
L |
3.6468136477919 |
L(r)(E,1)/r! |
Ω |
0.19169126647577 |
Real period |
R |
2.3780515114474 |
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 |
10230z2 |
Quadratic twists by: -3 |