Atkin-Lehner |
2- 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68894y |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
344911716361184 = 25 · 76 · 195 · 37 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -5 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30087,1796521] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-947:1] [-120:1979:1] |
Generators of the group modulo torsion |
j |
25601949246817/2931701216 |
j-invariant |
L |
8.883519579809 |
L(r)(E,1)/r! |
Ω |
0.52210375550859 |
Real period |
R |
0.34029709559151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1406d1 |
Quadratic twists by: -7 |