Atkin-Lehner |
2- 5+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
120700d |
Isogeny class |
Conductor |
120700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-2180143750000 = -1 · 24 · 58 · 173 · 71 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -3 0 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3242,1113] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-425:1] |
Generators of the group modulo torsion |
j |
15069150464/8720575 |
j-invariant |
L |
3.8189404361732 |
L(r)(E,1)/r! |
Ω |
0.49146348507487 |
Real period |
R |
0.4316970962655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999122295 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24140b1 |
Quadratic twists by: 5 |