Atkin-Lehner |
5+ 13- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127075h |
Isogeny class |
Conductor |
127075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-714240921875 = -1 · 56 · 13 · 172 · 233 |
Discriminant |
Eigenvalues |
2 1 5+ 4 -3 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2158,-56781] |
[a1,a2,a3,a4,a6] |
j |
-71163817984/45711419 |
j-invariant |
L |
6.1266305884412 |
L(r)(E,1)/r! |
Ω |
0.34036843183619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5083c1 |
Quadratic twists by: 5 |