Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
65600cf |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-42025000000 = -1 · 26 · 58 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 6 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,492,-8762] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2378:1] |
Generators of the group modulo torsion |
j |
13144256/42025 |
j-invariant |
L |
3.9672012197371 |
L(r)(E,1)/r! |
Ω |
0.5844406679499 |
Real period |
R |
3.3940153705916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600ca1 32800d2 13120bl1 |
Quadratic twists by: -4 8 5 |