Atkin-Lehner |
2- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
30550v |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-7637500000 = -1 · 25 · 58 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -6 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1180,16447] |
[a1,a2,a3,a4,a6] |
Generators |
[-298:845:8] [19:-35:1] |
Generators of the group modulo torsion |
j |
-464798385/19552 |
j-invariant |
L |
10.831179029594 |
L(r)(E,1)/r! |
Ω |
1.3071407657285 |
Real period |
R |
0.552410743284 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30550e1 |
Quadratic twists by: 5 |