Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8800m |
Isogeny class |
Conductor |
8800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-85184000 = -1 · 29 · 53 · 113 |
Discriminant |
Eigenvalues |
2+ -3 5- 3 11- 4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115,-650] |
[a1,a2,a3,a4,a6] |
Generators |
[25:110:1] |
Generators of the group modulo torsion |
j |
-2628072/1331 |
j-invariant |
L |
3.0533391908323 |
L(r)(E,1)/r! |
Ω |
0.71189021526448 |
Real period |
R |
0.35742158989337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8800k1 17600cz1 79200ej1 8800bb1 |
Quadratic twists by: -4 8 -3 5 |