Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840ci |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-5.2693310384E+19 |
Discriminant |
Eigenvalues |
2- -1 5- -1 11- 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-943840,496841600] |
[a1,a2,a3,a4,a6] |
Generators |
[680:13000:1] [-920:24200:1] |
Generators of the group modulo torsion |
j |
-12814546750201/7261718750 |
j-invariant |
L |
10.408498989264 |
L(r)(E,1)/r! |
Ω |
0.18519782155128 |
Real period |
R |
0.19514603997511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730x1 11440u1 |
Quadratic twists by: -4 -11 |