Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970ct |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-1170689360655735900 = -1 · 22 · 310 · 52 · 79 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,223357,-32599969] |
[a1,a2,a3,a4,a6] |
Generators |
[615:18052:1] |
Generators of the group modulo torsion |
j |
41890384817/39795300 |
j-invariant |
L |
9.6455378787808 |
L(r)(E,1)/r! |
Ω |
0.14972671544039 |
Real period |
R |
2.6842064248697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990be1 74970df1 |
Quadratic twists by: -3 -7 |