Atkin-Lehner |
2+ 3+ 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630b |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-321161032868054400 = -1 · 27 · 39 · 52 · 72 · 1014 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-182400,40572800] |
[a1,a2,a3,a4,a6] |
Generators |
[-385:7515:1] |
Generators of the group modulo torsion |
j |
-34096379087942163/16316670876800 |
j-invariant |
L |
5.2506539905338 |
L(r)(E,1)/r! |
Ω |
0.2848604206528 |
Real period |
R |
2.3040468288102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993615 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630bb2 |
Quadratic twists by: -3 |