Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300bq |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-1790291868750000 = -1 · 24 · 312 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30300,151625] |
[a1,a2,a3,a4,a6] |
Generators |
[10:675:1] [20:875:1] |
Generators of the group modulo torsion |
j |
16880451584/9823275 |
j-invariant |
L |
10.797580192629 |
L(r)(E,1)/r! |
Ω |
0.2837133807871 |
Real period |
R |
1.5857524007001 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999774 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23100j1 13860i1 |
Quadratic twists by: -3 5 |