Atkin-Lehner |
2+ 7+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
70448c |
Isogeny class |
Conductor |
70448 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26688 |
Modular degree for the optimal curve |
Δ |
-55231232 = -1 · 28 · 73 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ 0 7 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-953,11653] |
[a1,a2,a3,a4,a6] |
j |
-374298496000/215747 |
j-invariant |
L |
1.9645185561921 |
L(r)(E,1)/r! |
Ω |
1.9645185579024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35224f1 |
Quadratic twists by: -4 |