Atkin-Lehner |
2- 3+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74778bc |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
209838480917472 = 25 · 33 · 119 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 11- 5 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46164,3734325] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:2741:1] [9:1817:1] |
Generators of the group modulo torsion |
j |
6141556990297/118448352 |
j-invariant |
L |
11.41667226805 |
L(r)(E,1)/r! |
Ω |
0.56265903583523 |
Real period |
R |
1.0145284747054 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6798c1 |
Quadratic twists by: -11 |