Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970cy |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-7201472422334400 = -1 · 26 · 38 · 52 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,35932,3121031] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:1717:1] |
Generators of the group modulo torsion |
j |
59822347031/83966400 |
j-invariant |
L |
9.6755783665746 |
L(r)(E,1)/r! |
Ω |
0.283274396674 |
Real period |
R |
0.71158760443089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bf1 10710bm1 |
Quadratic twists by: -3 -7 |