Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780g |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
468288 |
Modular degree for the optimal curve |
Δ |
-19580400 = -1 · 24 · 33 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -4 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-428906,108259425] |
[a1,a2,a3,a4,a6] |
Generators |
[378:-15:1] [343:1175:1] |
Generators of the group modulo torsion |
j |
-11129996480152727296/24975 |
j-invariant |
L |
9.2364499838061 |
L(r)(E,1)/r! |
Ω |
1.0015034018739 |
Real period |
R |
1.5370974556172 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108780bg1 |
Quadratic twists by: -7 |