Atkin-Lehner |
2- 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40150u |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-600258560000000 = -1 · 217 · 57 · 11 · 732 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11+ -6 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44463,3777781] |
[a1,a2,a3,a4,a6] |
Generators |
[2395:-117998:1] [155:-878:1] |
Generators of the group modulo torsion |
j |
-622157846298409/38416547840 |
j-invariant |
L |
10.062754213893 |
L(r)(E,1)/r! |
Ω |
0.50767049595805 |
Real period |
R |
0.14574579455993 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8030a1 |
Quadratic twists by: 5 |