Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47025bd |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
925593075 = 311 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 11- -7 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3425,77982] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-60:1] |
Generators of the group modulo torsion |
j |
243735630385/50787 |
j-invariant |
L |
1.8838921303282 |
L(r)(E,1)/r! |
Ω |
1.5280356386043 |
Real period |
R |
0.30822123560822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15675d1 47025br1 |
Quadratic twists by: -3 5 |