Atkin-Lehner |
2- 3- 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
94350cn |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
3991140864000 = 212 · 36 · 53 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4623,-73863] |
[a1,a2,a3,a4,a6] |
Generators |
[102:-771:1] [-48:219:1] |
Generators of the group modulo torsion |
j |
87416064558341/31929126912 |
j-invariant |
L |
17.098329324467 |
L(r)(E,1)/r! |
Ω |
0.59669350122489 |
Real period |
R |
0.3979879045017 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94350i1 |
Quadratic twists by: 5 |