Atkin-Lehner |
2+ 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
63550h |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
686880 |
Modular degree for the optimal curve |
Δ |
-13246616200000000 = -1 · 29 · 58 · 312 · 413 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 -4 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2800,-5536000] |
[a1,a2,a3,a4,a6] |
Generators |
[12340:89155:64] |
Generators of the group modulo torsion |
j |
6211484375/33911337472 |
j-invariant |
L |
7.3256176807676 |
L(r)(E,1)/r! |
Ω |
0.18426546559425 |
Real period |
R |
2.2086545556662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63550t1 |
Quadratic twists by: 5 |