Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
35972c |
Isogeny class |
Conductor |
35972 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-15743912866928 = -1 · 24 · 172 · 237 |
Discriminant |
Eigenvalues |
2- 3 -2 0 0 3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5819,85169] |
[a1,a2,a3,a4,a6] |
Generators |
[-38640:440657:3375] |
Generators of the group modulo torsion |
j |
9199872/6647 |
j-invariant |
L |
9.3332521418116 |
L(r)(E,1)/r! |
Ω |
0.44380146125465 |
Real period |
R |
5.2575605065753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1564b1 |
Quadratic twists by: -23 |