Atkin-Lehner |
2+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800t |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-57528320000000000 = -1 · 221 · 510 · 532 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 -5 0 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79167,-7750463] |
[a1,a2,a3,a4,a6] |
j |
21434375/22472 |
j-invariant |
L |
1.5275468093651 |
L(r)(E,1)/r! |
Ω |
0.19094334604316 |
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 |
84800ca1 2650g1 84800be1 |
Quadratic twists by: -4 8 5 |