Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13300i |
Isogeny class |
Conductor |
13300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
20781250000 = 24 · 510 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-6412] |
[a1,a2,a3,a4,a6] |
Generators |
[-3020:1744:125] |
Generators of the group modulo torsion |
j |
409600/133 |
j-invariant |
L |
6.0332229467586 |
L(r)(E,1)/r! |
Ω |
0.91153021018919 |
Real period |
R |
6.6187855095953 |
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 |
53200bw1 119700bd1 13300p1 93100w1 |
Quadratic twists by: -4 -3 5 -7 |