Atkin-Lehner |
2+ 3+ 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470f |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3591712500000 = 25 · 3 · 58 · 19 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8803,-308243] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:67:1] [137:971:1] |
Generators of the group modulo torsion |
j |
75455847453646009/3591712500000 |
j-invariant |
L |
4.7391260109747 |
L(r)(E,1)/r! |
Ω |
0.49432772354826 |
Real period |
R |
9.5870123912076 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410bg2 |
Quadratic twists by: -3 |