Atkin-Lehner |
5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
109025o |
Isogeny class |
Conductor |
109025 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
3305919080078125 = 59 · 74 · 893 |
Discriminant |
Eigenvalues |
1 -1 5- 7+ 3 5 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40450,-1484125] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:1313:1] |
Generators of the group modulo torsion |
j |
1560895637/704969 |
j-invariant |
L |
7.0572057534757 |
L(r)(E,1)/r! |
Ω |
0.35123328959705 |
Real period |
R |
1.1162580494412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109025p1 109025q1 |
Quadratic twists by: 5 -7 |