Atkin-Lehner |
2+ 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
107690a |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
2098573444990 = 2 · 5 · 119 · 89 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 11+ 2 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18274,946702] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-5:1] |
Generators of the group modulo torsion |
j |
286191179/890 |
j-invariant |
L |
6.1218784971655 |
L(r)(E,1)/r! |
Ω |
0.82873881417961 |
Real period |
R |
3.6934908877646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999675705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107690u1 |
Quadratic twists by: -11 |