Atkin-Lehner |
2- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
105152u |
Isogeny class |
Conductor |
105152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-3418055770112 = -1 · 226 · 312 · 53 |
Discriminant |
Eigenvalues |
2- -3 2 2 0 5 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1804,93712] |
[a1,a2,a3,a4,a6] |
Generators |
[66:512:1] |
Generators of the group modulo torsion |
j |
-2476813977/13038848 |
j-invariant |
L |
5.922792693852 |
L(r)(E,1)/r! |
Ω |
0.68653719644744 |
Real period |
R |
1.0783816069458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105152c1 26288j1 |
Quadratic twists by: -4 8 |