Atkin-Lehner |
5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
12925c |
Isogeny class |
Conductor |
12925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-11107421875 = -1 · 59 · 112 · 47 |
Discriminant |
Eigenvalues |
0 0 5+ 2 11- -1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3050,65031] |
[a1,a2,a3,a4,a6] |
Generators |
[45:137:1] |
Generators of the group modulo torsion |
j |
-200818262016/710875 |
j-invariant |
L |
3.6351971076241 |
L(r)(E,1)/r! |
Ω |
1.2833238633429 |
Real period |
R |
0.70816050637344 |
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 |
116325o1 2585a1 |
Quadratic twists by: -3 5 |