Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
77700r |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3104892000000 = 28 · 34 · 56 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3708,-20412] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:222:1] |
Generators of the group modulo torsion |
j |
1409938000/776223 |
j-invariant |
L |
6.1474501695346 |
L(r)(E,1)/r! |
Ω |
0.65443638563075 |
Real period |
R |
0.78279191891973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3108c2 |
Quadratic twists by: 5 |