Atkin-Lehner |
2- 3+ 5- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950bk |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6201600 |
Modular degree for the optimal curve |
Δ |
-1389624851489062500 = -1 · 22 · 34 · 58 · 13 · 615 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11590638,-15193233969] |
[a1,a2,a3,a4,a6] |
Generators |
[871613986162105:32098868233662221:188822850553] |
Generators of the group modulo torsion |
j |
-440844783445777050625/3557439619812 |
j-invariant |
L |
11.05112847703 |
L(r)(E,1)/r! |
Ω |
0.040911227759704 |
Real period |
R |
22.510382198624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118950x1 |
Quadratic twists by: 5 |