Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350p |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-9861250000000 = -1 · 27 · 510 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 5 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29075,1902125] |
[a1,a2,a3,a4,a6] |
Generators |
[169:1276:1] |
Generators of the group modulo torsion |
j |
-811543975/2944 |
j-invariant |
L |
7.2080597261109 |
L(r)(E,1)/r! |
Ω |
0.72892242104228 |
Real period |
R |
4.9443257046914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56350bz1 56350s1 |
Quadratic twists by: 5 -7 |