Atkin-Lehner |
2+ 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30360n |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-30924551790000 = -1 · 24 · 312 · 54 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4135,-287842] |
[a1,a2,a3,a4,a6] |
Generators |
[106:690:1] |
Generators of the group modulo torsion |
j |
-488804612970496/1932784486875 |
j-invariant |
L |
7.3911600281977 |
L(r)(E,1)/r! |
Ω |
0.27177821138144 |
Real period |
R |
2.2662964746845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60720j1 91080bq1 |
Quadratic twists by: -4 -3 |