Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850be |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-97125000 = -1 · 23 · 3 · 56 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-176,998] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:42:1] |
Generators of the group modulo torsion |
j |
-38272753/6216 |
j-invariant |
L |
5.1492194794194 |
L(r)(E,1)/r! |
Ω |
1.8281304086144 |
Real period |
R |
2.8166587324163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550eg1 1554j1 |
Quadratic twists by: -3 5 |