Atkin-Lehner |
2+ 3- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630t |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-2702196080640 = -1 · 220 · 36 · 5 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2409,91853] |
[a1,a2,a3,a4,a6] |
Generators |
[19:220:1] [59:361:1] |
Generators of the group modulo torsion |
j |
-2121328796049/3706716160 |
j-invariant |
L |
7.7352753924054 |
L(r)(E,1)/r! |
Ω |
0.72284858267864 |
Real period |
R |
10.701100587007 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7070e1 |
Quadratic twists by: -3 |