Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
118496g |
Isogeny class |
Conductor |
118496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-35083321405888 = -1 · 26 · 7 · 238 |
Discriminant |
Eigenvalues |
2- -2 0 7+ -4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,882,-284504] |
[a1,a2,a3,a4,a6] |
Generators |
[230:3484:1] |
Generators of the group modulo torsion |
j |
8000/3703 |
j-invariant |
L |
3.2184049025897 |
L(r)(E,1)/r! |
Ω |
0.30563799419836 |
Real period |
R |
5.2650602247805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118496j1 5152e1 |
Quadratic twists by: -4 -23 |