Atkin-Lehner |
2- 7- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125398q |
Isogeny class |
Conductor |
125398 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-25070445946 = -1 · 2 · 72 · 136 · 53 |
Discriminant |
Eigenvalues |
2- 0 1 7- -3 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-877,12783] |
[a1,a2,a3,a4,a6] |
Generators |
[54:645:8] |
Generators of the group modulo torsion |
j |
-15438249/5194 |
j-invariant |
L |
10.096272018509 |
L(r)(E,1)/r! |
Ω |
1.1267370532137 |
Real period |
R |
2.240157074193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000095541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
742a1 |
Quadratic twists by: 13 |