Atkin-Lehner |
3- 7+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
62307a |
Isogeny class |
Conductor |
62307 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-10479846523066263 = -1 · 310 · 73 · 234 · 432 |
Discriminant |
Eigenvalues |
-1 3- -4 7+ 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63032,-7817430] |
[a1,a2,a3,a4,a6] |
Generators |
[342:3075:1] |
Generators of the group modulo torsion |
j |
-37990323066314809/14375646808047 |
j-invariant |
L |
1.2789306395526 |
L(r)(E,1)/r! |
Ω |
0.14786991225954 |
Real period |
R |
4.3245127430935 |
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 |
20769a1 |
Quadratic twists by: -3 |