Atkin-Lehner |
2+ 3- 5- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
63270o |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
332800 |
Modular degree for the optimal curve |
Δ |
652918605742080 = 220 · 311 · 5 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-163224,25392960] |
[a1,a2,a3,a4,a6] |
Generators |
[7866912:-3045993:32768] |
Generators of the group modulo torsion |
j |
659704930833045889/895635947520 |
j-invariant |
L |
5.3108932718173 |
L(r)(E,1)/r! |
Ω |
0.51071003818224 |
Real period |
R |
10.399038347808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21090l1 |
Quadratic twists by: -3 |