Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
714f |
Isogeny class |
Conductor |
714 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-4386816 = -1 · 212 · 32 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1,101] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:10:1] |
Generators of the group modulo torsion |
j |
103823/4386816 |
j-invariant |
L |
2.4625037273294 |
L(r)(E,1)/r! |
Ω |
1.9409723196817 |
Real period |
R |
0.84579730215942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5712bb1 22848bc1 2142d1 17850s1 |
Quadratic twists by: -4 8 -3 5 |