Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970cs |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-27205113600 = -1 · 28 · 36 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1658,27577] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-145:1] [-29:239:1] |
Generators of the group modulo torsion |
j |
-2014698447/108800 |
j-invariant |
L |
14.144985834953 |
L(r)(E,1)/r! |
Ω |
1.1711009668191 |
Real period |
R |
0.3774489304232 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8330m1 74970ee1 |
Quadratic twists by: -3 -7 |