Atkin-Lehner |
2- 3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954bv |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-2691190131904512 = -1 · 212 · 33 · 76 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 3 -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-104273,13154735] |
[a1,a2,a3,a4,a6] |
Generators |
[83:2212:1] |
Generators of the group modulo torsion |
j |
-1065740176698625/22874738688 |
j-invariant |
L |
9.0268103556192 |
L(r)(E,1)/r! |
Ω |
0.4546057603982 |
Real period |
R |
0.27578261679861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346k1 |
Quadratic twists by: -7 |