Atkin-Lehner |
2- 5- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17380d |
Isogeny class |
Conductor |
17380 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
636151450000 = 24 · 55 · 115 · 79 |
Discriminant |
Eigenvalues |
2- -1 5- -2 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8750,315625] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:605:1] [-45:785:1] |
Generators of the group modulo torsion |
j |
4631029220160256/39759465625 |
j-invariant |
L |
6.0225388695206 |
L(r)(E,1)/r! |
Ω |
0.91643251353213 |
Real period |
R |
0.08762294776164 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69520y1 86900e1 |
Quadratic twists by: -4 5 |