Atkin-Lehner |
2- 3+ 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36708f |
Isogeny class |
Conductor |
36708 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
496438992 = 24 · 32 · 73 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2149,-37622] |
[a1,a2,a3,a4,a6] |
Generators |
[66:322:1] |
Generators of the group modulo torsion |
j |
68630166372352/31027437 |
j-invariant |
L |
3.4949544268493 |
L(r)(E,1)/r! |
Ω |
0.70118948546951 |
Real period |
R |
1.6614407846829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110124p1 |
Quadratic twists by: -3 |