Atkin-Lehner |
2- 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850ch |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-8187217920000 = -1 · 214 · 32 · 54 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3563,158681] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:422:1] [51:310:1] |
Generators of the group modulo torsion |
j |
-8003847033025/13099548672 |
j-invariant |
L |
10.922100343994 |
L(r)(E,1)/r! |
Ω |
0.66043943391916 |
Real period |
R |
0.049219124955779 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550cs1 38850bi1 |
Quadratic twists by: -3 5 |