Atkin-Lehner |
2+ 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530bd |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
655360 |
Modular degree for the optimal curve |
Δ |
-809804626329600 = -1 · 216 · 32 · 52 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7257,1348906] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:1017:1] [32:1254:1] |
Generators of the group modulo torsion |
j |
23862997439/457113600 |
j-invariant |
L |
10.942330316391 |
L(r)(E,1)/r! |
Ω |
0.37514048900515 |
Real period |
R |
7.2921549643529 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930o1 |
Quadratic twists by: -11 |