Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362i |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-3106064082675456 = -1 · 28 · 32 · 72 · 317 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 6 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30291,-3375315] |
[a1,a2,a3,a4,a6] |
Generators |
[493:9844:1] |
Generators of the group modulo torsion |
j |
-3463512697/3499776 |
j-invariant |
L |
2.9401672152006 |
L(r)(E,1)/r! |
Ω |
0.1738745919655 |
Real period |
R |
2.1137125197302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121086bn1 1302g1 |
Quadratic twists by: -3 -31 |