Atkin-Lehner |
2- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40300m |
Isogeny class |
Conductor |
40300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-2619500000000 = -1 · 28 · 59 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- -2 -2 13- 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1333,-80537] |
[a1,a2,a3,a4,a6] |
j |
-524288/5239 |
j-invariant |
L |
1.3751314467561 |
L(r)(E,1)/r! |
Ω |
0.34378286169987 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40300j1 |
Quadratic twists by: 5 |