Atkin-Lehner |
2+ 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994g |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-44274016298805696 = -1 · 26 · 37 · 137 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,68104,-7434240] |
[a1,a2,a3,a4,a6] |
Generators |
[12436:226157:64] |
Generators of the group modulo torsion |
j |
7237215346607/9172522944 |
j-invariant |
L |
4.2545243872939 |
L(r)(E,1)/r! |
Ω |
0.19257694211304 |
Real period |
R |
5.5231487506075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5538n1 |
Quadratic twists by: 13 |