Atkin-Lehner |
2+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68614l |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
118944 |
Modular degree for the optimal curve |
Δ |
-935310917632 = -1 · 221 · 7 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 2 13- -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1226,-49476] |
[a1,a2,a3,a4,a6] |
Generators |
[92:740:1] |
Generators of the group modulo torsion |
j |
-92652203125/425721856 |
j-invariant |
L |
2.5546023629846 |
L(r)(E,1)/r! |
Ω |
0.36573748397005 |
Real period |
R |
3.4923988843141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68614u1 |
Quadratic twists by: 13 |