Atkin-Lehner |
2- 7+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
112784p |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-102886865648 = -1 · 24 · 72 · 195 · 53 |
Discriminant |
Eigenvalues |
2- -3 0 7+ -1 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-259705,-50941133] |
[a1,a2,a3,a4,a6] |
Generators |
[348989902:20673102625:97336] |
Generators of the group modulo torsion |
j |
-121072263693656544000/6430429103 |
j-invariant |
L |
3.1612401863903 |
L(r)(E,1)/r! |
Ω |
0.10574247710039 |
Real period |
R |
14.947825217441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000173598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28196f1 |
Quadratic twists by: -4 |