Atkin-Lehner |
3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37905k |
Isogeny class |
Conductor |
37905 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
4939817505 = 3 · 5 · 7 · 196 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-910,-10390] |
[a1,a2,a3,a4,a6] |
j |
1771561/105 |
j-invariant |
L |
1.744908250066 |
L(r)(E,1)/r! |
Ω |
0.87245412502194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113715t1 105a1 |
Quadratic twists by: -3 -19 |