Atkin-Lehner |
2- 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646cu |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
33685207203815136 = 25 · 38 · 178 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 5 -4 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-303071,63684839] |
[a1,a2,a3,a4,a6] |
j |
605391913/6624 |
j-invariant |
L |
7.398038186779 |
L(r)(E,1)/r! |
Ω |
0.36990193907594 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882bi1 119646cq1 |
Quadratic twists by: -3 17 |