Atkin-Lehner |
2- 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
8806f |
Isogeny class |
Conductor |
8806 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
36400 |
Modular degree for the optimal curve |
Δ |
1384466939327584 = 25 · 77 · 175 · 37 |
Discriminant |
Eigenvalues |
2- 1 1 7+ -4 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37120,-2094176] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:700:1] |
Generators of the group modulo torsion |
j |
5656507222647214081/1384466939327584 |
j-invariant |
L |
7.4745453294164 |
L(r)(E,1)/r! |
Ω |
0.35009495942048 |
Real period |
R |
4.2700102519551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70448o1 79254m1 61642bb1 |
Quadratic twists by: -4 -3 -7 |