Atkin-Lehner |
2+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1394c |
Isogeny class |
Conductor |
1394 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10880 |
Modular degree for the optimal curve |
Δ |
58830074018791424 = 234 · 174 · 41 |
Discriminant |
Eigenvalues |
2+ 2 -2 0 2 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-115031,9402965] |
[a1,a2,a3,a4,a6] |
Generators |
[-2914:15635:8] |
Generators of the group modulo torsion |
j |
168334951057702152697/58830074018791424 |
j-invariant |
L |
2.4837761822984 |
L(r)(E,1)/r! |
Ω |
0.3228935806917 |
Real period |
R |
7.6922439181903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11152n1 44608f1 12546p1 34850w1 |
Quadratic twists by: -4 8 -3 5 |