Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7800f |
Isogeny class |
Conductor |
7800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-7020000000000 = -1 · 211 · 33 · 510 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5208,191088] |
[a1,a2,a3,a4,a6] |
j |
-781250/351 |
j-invariant |
L |
2.0941605263806 |
L(r)(E,1)/r! |
Ω |
0.69805350879355 |
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 |
15600c1 62400w1 23400bi1 7800r1 |
Quadratic twists by: -4 8 -3 5 |