Atkin-Lehner |
2+ 3- 5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
118170h |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1520000 |
Modular degree for the optimal curve |
Δ |
-664311754817100000 = -1 · 25 · 311 · 55 · 135 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-70650,39892500] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:6909:1] |
Generators of the group modulo torsion |
j |
-53497826767850401/911264409900000 |
j-invariant |
L |
3.8650957231494 |
L(r)(E,1)/r! |
Ω |
0.24239548114841 |
Real period |
R |
0.79727058149343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39390r1 |
Quadratic twists by: -3 |