Atkin-Lehner |
3+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
125913b |
Isogeny class |
Conductor |
125913 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2296320 |
Modular degree for the optimal curve |
Δ |
44442499996375749 = 35 · 192 · 477 |
Discriminant |
Eigenvalues |
-2 3+ 1 1 -1 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2775240,-1778550190] |
[a1,a2,a3,a4,a6] |
Generators |
[-7670:687:8] |
Generators of the group modulo torsion |
j |
219299862974464/4122981 |
j-invariant |
L |
2.9439992817396 |
L(r)(E,1)/r! |
Ω |
0.11697010908741 |
Real period |
R |
6.2922042104834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000102369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2679a1 |
Quadratic twists by: -47 |