Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550ce |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-3131100000000 = -1 · 28 · 32 · 58 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,-85219] |
[a1,a2,a3,a4,a6] |
Generators |
[95:-923:1] |
Generators of the group modulo torsion |
j |
-47045881/200390400 |
j-invariant |
L |
9.7374336031285 |
L(r)(E,1)/r! |
Ω |
0.36252114936598 |
Real period |
R |
0.83938495921151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910v1 |
Quadratic twists by: 5 |