Atkin-Lehner |
11+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
76109a |
Isogeny class |
Conductor |
76109 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
109824 |
Modular degree for the optimal curve |
Δ |
-54876516612643 = -1 · 119 · 17 · 372 |
Discriminant |
Eigenvalues |
0 0 -2 1 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21296,1248145] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:1535:1] [121:665:1] |
Generators of the group modulo torsion |
j |
-452984832/23273 |
j-invariant |
L |
7.5717262985534 |
L(r)(E,1)/r! |
Ω |
0.62168225847319 |
Real period |
R |
3.0448537799713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76109b1 |
Quadratic twists by: -11 |