Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550db |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
124 |
Product of Tamagawa factors cp |
deg |
2356992 |
Modular degree for the optimal curve |
Δ |
1915838828170444800 = 231 · 39 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-314255,12841687] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:6086:1] |
Generators of the group modulo torsion |
j |
6974895484951875/3893387853824 |
j-invariant |
L |
12.549056440453 |
L(r)(E,1)/r! |
Ω |
0.2276142363443 |
Real period |
R |
0.44462099450875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550h1 116550s1 |
Quadratic twists by: -3 5 |