Atkin-Lehner |
2+ 3- 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050bd |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-506868953906250 = -1 · 2 · 35 · 58 · 13 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-276576,55972048] |
[a1,a2,a3,a4,a6] |
Generators |
[302:-264:1] |
Generators of the group modulo torsion |
j |
-5989697562825625/1297584522 |
j-invariant |
L |
6.9574537627053 |
L(r)(E,1)/r! |
Ω |
0.50843260257233 |
Real period |
R |
0.91227479637083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050bl1 |
Quadratic twists by: 5 |