Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850fq |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
8616960 |
Modular degree for the optimal curve |
Δ |
-1.0772562461069E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,23070820,25963988447] |
[a1,a2,a3,a4,a6] |
Generators |
[1365:-245627:1] |
Generators of the group modulo torsion |
j |
190759093742107775/151318298492928 |
j-invariant |
L |
9.769904800718 |
L(r)(E,1)/r! |
Ω |
0.05616811027966 |
Real period |
R |
0.85264912708016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950y1 59850cw1 |
Quadratic twists by: -3 5 |