Atkin-Lehner |
2- 3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
40356c |
Isogeny class |
Conductor |
40356 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-20122954416 = -1 · 24 · 310 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-336,7225] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:63:1] [-6:95:1] |
Generators of the group modulo torsion |
j |
-359661568/1725219 |
j-invariant |
L |
7.1328420337311 |
L(r)(E,1)/r! |
Ω |
1.0557517489265 |
Real period |
R |
1.1260289237794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13452d1 |
Quadratic twists by: -3 |