Atkin-Lehner |
2- 3+ 5- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30210bc |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
7980 |
Product of Tamagawa factors cp |
deg |
69457920 |
Modular degree for the optimal curve |
Δ |
-3.3415415826406E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 0 1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9934464295,-391142921611555] |
[a1,a2,a3,a4,a6] |
Generators |
[727883:614469978:1] |
Generators of the group modulo torsion |
j |
-108431901008424870304810487314391281/3341541582640643189760000000000 |
j-invariant |
L |
6.5701571160459 |
L(r)(E,1)/r! |
Ω |
0.0075473701209847 |
Real period |
R |
0.10908805931156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90630o1 |
Quadratic twists by: -3 |