Atkin-Lehner |
2+ 3- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070j |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-7121338560 = -1 · 26 · 36 · 5 · 73 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,450,1620] |
[a1,a2,a3,a4,a6] |
Generators |
[36:234:1] |
Generators of the group modulo torsion |
j |
13806727199/9768640 |
j-invariant |
L |
4.7170440198309 |
L(r)(E,1)/r! |
Ω |
0.84057993001101 |
Real period |
R |
0.4676378624002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6230h1 |
Quadratic twists by: -3 |