Atkin-Lehner |
7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
70357c |
Isogeny class |
Conductor |
70357 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
371712 |
Modular degree for the optimal curve |
Δ |
-104684793836891023 = -1 · 7 · 192 · 2310 |
Discriminant |
Eigenvalues |
-1 0 -2 7- -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65431,16863470] |
[a1,a2,a3,a4,a6] |
Generators |
[-247:4355:1] |
Generators of the group modulo torsion |
j |
-209267191953/707158207 |
j-invariant |
L |
1.800886798584 |
L(r)(E,1)/r! |
Ω |
0.29380453148683 |
Real period |
R |
3.0647702897035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3059a1 |
Quadratic twists by: -23 |