Atkin-Lehner |
2+ 3+ 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130c |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-141991353750 = -1 · 2 · 3 · 54 · 314 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,812,-15458] |
[a1,a2,a3,a4,a6] |
Generators |
[27:151:1] [71:602:1] |
Generators of the group modulo torsion |
j |
59095693799351/141991353750 |
j-invariant |
L |
5.508412886271 |
L(r)(E,1)/r! |
Ω |
0.53426649214208 |
Real period |
R |
10.310234625021 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390bp3 |
Quadratic twists by: -3 |