Atkin-Lehner |
2- 7+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
120176m |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-32316768512 = -1 · 28 · 76 · 29 · 37 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 3 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,772,-2852] |
[a1,a2,a3,a4,a6] |
Generators |
[629:15778:1] |
Generators of the group modulo torsion |
j |
198505694000/126237377 |
j-invariant |
L |
4.7556320564386 |
L(r)(E,1)/r! |
Ω |
0.670740247654 |
Real period |
R |
3.5450623378907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000158774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30044c1 |
Quadratic twists by: -4 |