Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60516l |
Isogeny class |
Conductor |
60516 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-7.1539480672538E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -5 -4 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,161376,-1286617228] |
[a1,a2,a3,a4,a6] |
Generators |
[616677934904194889:1177467080818627323:593318083956389] |
Generators of the group modulo torsion |
j |
524288/807003 |
j-invariant |
L |
7.5819601588439 |
L(r)(E,1)/r! |
Ω |
0.07466927133493 |
Real period |
R |
25.385141783542 |
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 |
20172d1 1476b1 |
Quadratic twists by: -3 41 |