Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
107800o |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
6313199200000000 = 211 · 58 · 72 · 115 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11- -5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1672008,-832706512] |
[a1,a2,a3,a4,a6] |
Generators |
[-2049418:257125:2744] |
Generators of the group modulo torsion |
j |
329680277223458/4026275 |
j-invariant |
L |
7.0849425769799 |
L(r)(E,1)/r! |
Ω |
0.13276703712657 |
Real period |
R |
5.3363717014511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999702219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21560t1 107800c1 |
Quadratic twists by: 5 -7 |