Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376bv |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-12389658624 = -1 · 212 · 32 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -4 0 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19,5349] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-76:1] [23:132:1] |
Generators of the group modulo torsion |
j |
3584/61731 |
j-invariant |
L |
8.5535079698292 |
L(r)(E,1)/r! |
Ω |
0.99939669536902 |
Real period |
R |
0.71322262132569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376cm1 89376ce1 |
Quadratic twists by: -4 -7 |