Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530k |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46656000 |
Modular degree for the optimal curve |
Δ |
3.5358867860534E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -4 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-320019713,2201509416693] |
[a1,a2,a3,a4,a6] |
Generators |
[262677:-2699503:27] |
Generators of the group modulo torsion |
j |
2045963103559233496820209/1995915910348800000 |
j-invariant |
L |
2.0230378205228 |
L(r)(E,1)/r! |
Ω |
0.078627217141935 |
Real period |
R |
6.4323712663947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230y1 |
Quadratic twists by: -11 |