Atkin-Lehner |
2- 3- 5- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390cf |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-257539370400000 = -1 · 28 · 37 · 55 · 133 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -1 13- 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1408,771491] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:619:1] |
Generators of the group modulo torsion |
j |
423733973831/353277600000 |
j-invariant |
L |
9.0154738716853 |
L(r)(E,1)/r! |
Ω |
0.43165275306693 |
Real period |
R |
0.043512376764944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26130l1 |
Quadratic twists by: -3 |