Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530ba |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
1.0971963845208E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5873464,-2149849594] |
[a1,a2,a3,a4,a6] |
Generators |
[-1706:54758:1] [-914:50006:1] |
Generators of the group modulo torsion |
j |
12648832119017360209/6193387552112640 |
j-invariant |
L |
9.6983693489206 |
L(r)(E,1)/r! |
Ω |
0.10191623424439 |
Real period |
R |
5.2866778401706 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230bb1 |
Quadratic twists by: -11 |