Atkin-Lehner |
3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12495n |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
2016000 |
Modular degree for the optimal curve |
Δ |
-2.6431970721055E+23 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 2 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-233232715,-1371284647694] |
[a1,a2,a3,a4,a6] |
j |
-11926249134908509075308544/2246680441062421875 |
j-invariant |
L |
2.7042405416535 |
L(r)(E,1)/r! |
Ω |
0.019316003868954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37485ba1 62475p1 1785d1 |
Quadratic twists by: -3 5 -7 |