Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
93456bv |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
361026420614627328 = 218 · 313 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-340635,-70850486] |
[a1,a2,a3,a4,a6] |
Generators |
[5373:391424:1] |
Generators of the group modulo torsion |
j |
1463875168353625/120907017792 |
j-invariant |
L |
7.0320247002189 |
L(r)(E,1)/r! |
Ω |
0.19865601660838 |
Real period |
R |
4.4247493776193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11682o1 31152v1 |
Quadratic twists by: -4 -3 |