Atkin-Lehner |
3+ 5+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
113775b |
Isogeny class |
Conductor |
113775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
777581015625 = 38 · 57 · 37 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 2 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3275,57000] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:366:1] |
Generators of the group modulo torsion |
j |
248739515569/49765185 |
j-invariant |
L |
7.5500865036311 |
L(r)(E,1)/r! |
Ω |
0.84982190341747 |
Real period |
R |
4.4421580982592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22755g1 |
Quadratic twists by: 5 |