Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362x |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-2.4152754306884E+19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 3 3 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1203192,-560820423] |
[a1,a2,a3,a4,a6] |
Generators |
[3717:213405:1] |
Generators of the group modulo torsion |
j |
-217049294532673/27214258176 |
j-invariant |
L |
6.4557239414179 |
L(r)(E,1)/r! |
Ω |
0.071573260654001 |
Real period |
R |
1.7345659007363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121086k1 1302m1 |
Quadratic twists by: -3 -31 |