Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345q |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
17233920 |
Modular degree for the optimal curve |
Δ |
-1.9944448982675E+28 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,258446625,-6603697742508] |
[a1,a2,a3,a4,a6] |
Generators |
[66722:-17574189:1] |
Generators of the group modulo torsion |
j |
16098893047132187167/168182866341984375 |
j-invariant |
L |
2.9507579982148 |
L(r)(E,1)/r! |
Ω |
0.018970155744122 |
Real period |
R |
8.6415210350401 |
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 |
91035u1 30345t1 |
Quadratic twists by: -3 17 |