Atkin-Lehner |
3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975x |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-1158141761279296875 = -1 · 316 · 511 · 19 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 -2 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-308325,-83804594] |
[a1,a2,a3,a4,a6] |
Generators |
[13315:1535062:1] |
Generators of the group modulo torsion |
j |
-284578691608576/101674996875 |
j-invariant |
L |
2.7122156494839 |
L(r)(E,1)/r! |
Ω |
0.099517261843559 |
Real period |
R |
6.813430174819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999647623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41325c1 24795g1 |
Quadratic twists by: -3 5 |