Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800o |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-4403200 = -1 · 212 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 3 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,103] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] |
Generators of the group modulo torsion |
j |
320/43 |
j-invariant |
L |
4.977448894207 |
L(r)(E,1)/r! |
Ω |
1.8880171638739 |
Real period |
R |
1.3181683382299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800bh1 34400bf1 68800cj1 |
Quadratic twists by: -4 8 5 |