Atkin-Lehner |
2- 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690v |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
31144703040 = 26 · 33 · 5 · 112 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9398,352901] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:691:1] |
Generators of the group modulo torsion |
j |
3399561843882147/1153507520 |
j-invariant |
L |
8.9916259747899 |
L(r)(E,1)/r! |
Ω |
1.1495974193505 |
Real period |
R |
3.9107716420719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
30690d3 |
Quadratic twists by: -3 |