Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600bp |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-217909477800000000 = -1 · 29 · 33 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -3 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-353208,-83742588] |
[a1,a2,a3,a4,a6] |
Generators |
[256359304:26238856042:24389] |
Generators of the group modulo torsion |
j |
-207108680/9261 |
j-invariant |
L |
5.2300407440078 |
L(r)(E,1)/r! |
Ω |
0.097662600086671 |
Real period |
R |
13.388033660605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600hw1 117600gs1 16800x1 |
Quadratic twists by: -4 5 -7 |