Atkin-Lehner |
2+ 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850bm |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
3411340800 = 29 · 3 · 52 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4176,-104162] |
[a1,a2,a3,a4,a6] |
j |
322044338070625/136453632 |
j-invariant |
L |
2.3757072671201 |
L(r)(E,1)/r! |
Ω |
0.59392681677326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550fc1 38850ce1 |
Quadratic twists by: -3 5 |