Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160cq |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-91372250946600960 = -1 · 234 · 3 · 5 · 7 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-359976,84272820] |
[a1,a2,a3,a4,a6] |
Generators |
[620:9990:1] |
Generators of the group modulo torsion |
j |
-1259463573132482089/22307678453760 |
j-invariant |
L |
6.6192109529329 |
L(r)(E,1)/r! |
Ω |
0.33945270256308 |
Real period |
R |
3.2499426785997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770d1 |
Quadratic twists by: -4 |