Atkin-Lehner |
3+ 5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70725c |
Isogeny class |
Conductor |
70725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18960 |
Modular degree for the optimal curve |
Δ |
-131760675 = -1 · 35 · 52 · 232 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 4 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,107,318] |
[a1,a2,a3,a4,a6] |
j |
5368709120/5270427 |
j-invariant |
L |
2.4324879676844 |
L(r)(E,1)/r! |
Ω |
1.2162439796581 |
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 |
70725s1 |
Quadratic twists by: 5 |