Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376g |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2779951104 = -1 · 212 · 36 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -4 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-541,-5291] |
[a1,a2,a3,a4,a6] |
Generators |
[28:27:1] [35:132:1] |
Generators of the group modulo torsion |
j |
-87410176/13851 |
j-invariant |
L |
8.6765255214494 |
L(r)(E,1)/r! |
Ω |
0.49060881215054 |
Real period |
R |
4.4213053794125 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376cw1 89376n1 |
Quadratic twists by: -4 -7 |