Atkin-Lehner |
2- 3- 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
71370u |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-6.3018975633084E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,692167,1187111481] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:34272:1] |
Generators of the group modulo torsion |
j |
50307118408913789879/864457827614316000 |
j-invariant |
L |
7.9852159726627 |
L(r)(E,1)/r! |
Ω |
0.12084807204639 |
Real period |
R |
3.3038243129556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23790b1 |
Quadratic twists by: -3 |