Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544cb |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
116593344 = 26 · 37 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29991,1999100] |
[a1,a2,a3,a4,a6] |
Generators |
[104:70:1] |
Generators of the group modulo torsion |
j |
63942417278272/2499 |
j-invariant |
L |
4.9147956970602 |
L(r)(E,1)/r! |
Ω |
1.3837443910284 |
Real period |
R |
1.7759044695384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544bg1 34272bi4 22848q1 |
Quadratic twists by: -4 8 -3 |