Atkin-Lehner |
2+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600y |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-34747958000 = -1 · 24 · 53 · 73 · 373 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 4 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,772,-3773] |
[a1,a2,a3,a4,a6] |
Generators |
[186:1295:8] [51:407:1] |
Generators of the group modulo torsion |
j |
25408728832/17373979 |
j-invariant |
L |
9.9810970952557 |
L(r)(E,1)/r! |
Ω |
0.65818627029378 |
Real period |
R |
0.84247487241983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51800x1 103600o1 |
Quadratic twists by: -4 5 |