Atkin-Lehner |
2+ 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
36050o |
Isogeny class |
Conductor |
36050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84800 |
Modular degree for the optimal curve |
Δ |
-315437500000 = -1 · 25 · 59 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -5 3 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39992,3088416] |
[a1,a2,a3,a4,a6] |
Generators |
[119:3:1] |
Generators of the group modulo torsion |
j |
-3621755704293/161504 |
j-invariant |
L |
3.4190334035428 |
L(r)(E,1)/r! |
Ω |
0.90943589604408 |
Real period |
R |
0.93987751594565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36050v1 |
Quadratic twists by: 5 |