Atkin-Lehner |
2- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
109520be |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
3241792000000 = 212 · 56 · 373 |
Discriminant |
Eigenvalues |
2- 1 5- -1 -3 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5525,-134077] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:125:1] [86:185:1] |
Generators of the group modulo torsion |
j |
89915392/15625 |
j-invariant |
L |
13.52292811351 |
L(r)(E,1)/r! |
Ω |
0.56032401285654 |
Real period |
R |
2.0111768375242 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6845e1 109520q1 |
Quadratic twists by: -4 37 |