Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
12720q |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-6.9049500418443E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 5 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4133784,-2350563984] |
[a1,a2,a3,a4,a6] |
Generators |
[5906:477530:1] |
Generators of the group modulo torsion |
j |
1907247257179943046551/1685778818809651200 |
j-invariant |
L |
3.7951035278142 |
L(r)(E,1)/r! |
Ω |
0.073088346509987 |
Real period |
R |
2.5962439356154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1590g1 50880dx1 38160br1 63600ct1 |
Quadratic twists by: -4 8 -3 5 |