Atkin-Lehner |
2- 3- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954cr |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
97355905513936272 = 24 · 36 · 79 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1465689,682697385] |
[a1,a2,a3,a4,a6] |
Generators |
[-1368:12003:1] |
Generators of the group modulo torsion |
j |
8629126903782631/2412570096 |
j-invariant |
L |
12.983753506696 |
L(r)(E,1)/r! |
Ω |
0.32953280256569 |
Real period |
R |
3.2833740705573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114954bk1 |
Quadratic twists by: -7 |