Atkin-Lehner |
5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
45815h |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
134064 |
Modular degree for the optimal curve |
Δ |
-19885196467675 = -1 · 52 · 74 · 117 · 17 |
Discriminant |
Eigenvalues |
-2 0 5+ 7+ 11- -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-30233,2034688] |
[a1,a2,a3,a4,a6] |
Generators |
[91:-193:1] |
Generators of the group modulo torsion |
j |
-1272844306427904/8282047675 |
j-invariant |
L |
1.8038770256518 |
L(r)(E,1)/r! |
Ω |
0.68818846848325 |
Real period |
R |
0.062409434273402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45815y1 |
Quadratic twists by: -7 |