Atkin-Lehner |
3- 5- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
60255f |
Isogeny class |
Conductor |
60255 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-13573101555 = -1 · 39 · 5 · 13 · 1032 |
Discriminant |
Eigenvalues |
2 3- 5- -3 -3 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,303,-5225] |
[a1,a2,a3,a4,a6] |
Generators |
[12680:67415:512] |
Generators of the group modulo torsion |
j |
4220112896/18618795 |
j-invariant |
L |
11.13838872606 |
L(r)(E,1)/r! |
Ω |
0.63480541496564 |
Real period |
R |
4.3865365918224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20085c1 |
Quadratic twists by: -3 |