Atkin-Lehner |
2+ 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850r |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-462124363050000000 = -1 · 27 · 39 · 58 · 73 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-929700,346194000] |
[a1,a2,a3,a4,a6] |
j |
-227506023808875625/1183038369408 |
j-invariant |
L |
0.59544888638648 |
L(r)(E,1)/r! |
Ω |
0.29772444319107 |
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 |
116550fj1 38850cr1 |
Quadratic twists by: -3 5 |