Atkin-Lehner |
3+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
78897d |
Isogeny class |
Conductor |
78897 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
230112 |
Modular degree for the optimal curve |
Δ |
-51418308097611 = -1 · 34 · 7 · 13 · 178 |
Discriminant |
Eigenvalues |
0 3+ 1 7+ -2 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-101535,-12423931] |
[a1,a2,a3,a4,a6] |
Generators |
[393:2866:1] |
Generators of the group modulo torsion |
j |
-16595255296/7371 |
j-invariant |
L |
4.2191732973345 |
L(r)(E,1)/r! |
Ω |
0.13372225409423 |
Real period |
R |
5.2586277022922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78897k1 |
Quadratic twists by: 17 |