Atkin-Lehner |
3- 7+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
62307a |
Isogeny class |
Conductor |
62307 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12799998942733107 = 314 · 76 · 232 · 43 |
Discriminant |
Eigenvalues |
-1 3- -4 7+ 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1086647,-435688500] |
[a1,a2,a3,a4,a6] |
Generators |
[-598:402:1] |
Generators of the group modulo torsion |
j |
194653073367598903849/17558297589483 |
j-invariant |
L |
1.2789306395526 |
L(r)(E,1)/r! |
Ω |
0.14786991225954 |
Real period |
R |
2.1622563715468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20769a2 |
Quadratic twists by: -3 |