Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200cp |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-6860800 = -1 · 212 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73,297] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:12:1] |
Generators of the group modulo torsion |
j |
-425920/67 |
j-invariant |
L |
9.1115697050621 |
L(r)(E,1)/r! |
Ω |
2.2818514572026 |
Real period |
R |
1.9965299855074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200cd1 53600k1 107200da1 |
Quadratic twists by: -4 8 5 |