Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376bo |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-741629177856 = -1 · 212 · 34 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 0 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56317,5163061] |
[a1,a2,a3,a4,a6] |
Generators |
[139:36:1] |
Generators of the group modulo torsion |
j |
-40992251392/1539 |
j-invariant |
L |
3.91059283339 |
L(r)(E,1)/r! |
Ω |
0.84333113211442 |
Real period |
R |
1.1592696736414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376bb1 1824l1 |
Quadratic twists by: -4 -7 |