Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108300g |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
23457780000000 = 28 · 32 · 57 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -1 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-553533,158696937] |
[a1,a2,a3,a4,a6] |
Generators |
[507:-2850:1] [-177:15846:1] |
Generators of the group modulo torsion |
j |
35981615104/45 |
j-invariant |
L |
9.182593072551 |
L(r)(E,1)/r! |
Ω |
0.57105690112528 |
Real period |
R |
0.44666657426266 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660r1 108300ce1 |
Quadratic twists by: 5 -19 |