Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
95400k |
Isogeny class |
Conductor |
95400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-15454800000000 = -1 · 210 · 36 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -1 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9075,382750] |
[a1,a2,a3,a4,a6] |
Generators |
[15:500:1] |
Generators of the group modulo torsion |
j |
-7086244/1325 |
j-invariant |
L |
5.0959299892859 |
L(r)(E,1)/r! |
Ω |
0.67122876126123 |
Real period |
R |
1.8979855555178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10600c1 19080i1 |
Quadratic twists by: -3 5 |