Atkin-Lehner |
2+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690m |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4631040 |
Modular degree for the optimal curve |
Δ |
3717750870779929390 = 2 · 5 · 1115 · 89 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 11- -2 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-677320,-193293974] |
[a1,a2,a3,a4,a6] |
Generators |
[77588:1732767:64] |
Generators of the group modulo torsion |
j |
19397674210766769/2098573444990 |
j-invariant |
L |
1.6116578767744 |
L(r)(E,1)/r! |
Ω |
0.16758528666724 |
Real period |
R |
2.4042353561884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999945677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9790k1 |
Quadratic twists by: -11 |