Atkin-Lehner |
2- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
41300k |
Isogeny class |
Conductor |
41300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2836080 |
Modular degree for the optimal curve |
Δ |
-2.1079415326673E+21 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -3 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35013958,79765104213] |
[a1,a2,a3,a4,a6] |
Generators |
[3233:19175:1] |
Generators of the group modulo torsion |
j |
-759569165881082080000/337270645226767 |
j-invariant |
L |
2.6235481324762 |
L(r)(E,1)/r! |
Ω |
0.14448542983697 |
Real period |
R |
3.0263122210509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41300h1 |
Quadratic twists by: 5 |