Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850bi |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-127925280000000000 = -1 · 214 · 32 · 510 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-89076,20013298] |
[a1,a2,a3,a4,a6] |
Generators |
[481:9167:1] |
Generators of the group modulo torsion |
j |
-8003847033025/13099548672 |
j-invariant |
L |
4.8308067328436 |
L(r)(E,1)/r! |
Ω |
0.29535749385294 |
Real period |
R |
2.044474422261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550eo1 38850ch1 |
Quadratic twists by: -3 5 |