Atkin-Lehner |
2- 3- 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
117150cd |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
250 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-540162348343200 = -1 · 25 · 310 · 52 · 115 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3497,1115657] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1025:1] |
Generators of the group modulo torsion |
j |
189174606142055/21606493933728 |
j-invariant |
L |
13.089109099087 |
L(r)(E,1)/r! |
Ω |
0.39916913304705 |
Real period |
R |
3.2790884982672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999760933 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
117150p2 |
Quadratic twists by: 5 |