Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350a |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-662952115000000 = -1 · 26 · 57 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 6 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18400,1560000] |
[a1,a2,a3,a4,a6] |
j |
-7649089/7360 |
j-invariant |
L |
3.7276456573066 |
L(r)(E,1)/r! |
Ω |
0.46595570763655 |
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 |
11270j1 56350u1 |
Quadratic twists by: 5 -7 |