Atkin-Lehner |
2+ 5+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15910c |
Isogeny class |
Conductor |
15910 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
-77158154240 = -1 · 218 · 5 · 372 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6310,-191820] |
[a1,a2,a3,a4,a6] |
j |
-27787565801421369/77158154240 |
j-invariant |
L |
0.26778531990149 |
L(r)(E,1)/r! |
Ω |
0.26778531990149 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127280i1 79550j1 |
Quadratic twists by: -4 5 |