Atkin-Lehner |
2+ 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10230j |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-20162058812527500 = -1 · 22 · 38 · 54 · 113 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12147,-6856119] |
[a1,a2,a3,a4,a6] |
Generators |
[312:4299:1] |
Generators of the group modulo torsion |
j |
-198237891502720441/20162058812527500 |
j-invariant |
L |
3.07037490661 |
L(r)(E,1)/r! |
Ω |
0.17020677222191 |
Real period |
R |
0.75162865792805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840dh3 30690z3 51150ci3 112530ca3 |
Quadratic twists by: -4 -3 5 -11 |