Atkin-Lehner |
2- 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
13490d |
Isogeny class |
Conductor |
13490 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-168625000 = -1 · 23 · 56 · 19 · 71 |
Discriminant |
Eigenvalues |
2- -2 5- -1 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,25,625] |
[a1,a2,a3,a4,a6] |
j |
1723683599/168625000 |
j-invariant |
L |
2.7767042570137 |
L(r)(E,1)/r! |
Ω |
1.3883521285069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
107920m1 121410e1 67450b1 |
Quadratic twists by: -4 -3 5 |