Atkin-Lehner |
2+ 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
30550k |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
234240 |
Modular degree for the optimal curve |
Δ |
621206144000 = 210 · 53 · 133 · 472 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 0 13- -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-505485,138117725] |
[a1,a2,a3,a4,a6] |
Generators |
[329:2585:1] |
Generators of the group modulo torsion |
j |
114272008163742880781/4969649152 |
j-invariant |
L |
5.9378883574667 |
L(r)(E,1)/r! |
Ω |
0.67988523619958 |
Real period |
R |
1.4556104573026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30550w1 |
Quadratic twists by: 5 |