Atkin-Lehner |
2+ 3+ 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38130i |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-102174996542400 = -1 · 26 · 36 · 52 · 31 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21942,-1351404] |
[a1,a2,a3,a4,a6] |
Generators |
[180:666:1] |
Generators of the group modulo torsion |
j |
-1168377729398876521/102174996542400 |
j-invariant |
L |
2.2643913896926 |
L(r)(E,1)/r! |
Ω |
0.1951577306121 |
Real period |
R |
2.900719564875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390bo1 |
Quadratic twists by: -3 |