Atkin-Lehner |
2- 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
70448h |
Isogeny class |
Conductor |
70448 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-26232580864 = -1 · 28 · 7 · 172 · 373 |
Discriminant |
Eigenvalues |
2- 2 3 7+ -3 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2549,-49303] |
[a1,a2,a3,a4,a6] |
Generators |
[349:6438:1] |
Generators of the group modulo torsion |
j |
-7157537308672/102471019 |
j-invariant |
L |
11.415584069165 |
L(r)(E,1)/r! |
Ω |
0.33565504812855 |
Real period |
R |
2.8341557135017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17612d1 |
Quadratic twists by: -4 |