Atkin-Lehner |
3- 5- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
94185ba |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-1062220772851875 = -1 · 37 · 54 · 7 · 136 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 1 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-16392,1763905] |
[a1,a2,a3,a4,a6] |
Generators |
[323:5492:1] |
Generators of the group modulo torsion |
j |
-668177765761024/1457092966875 |
j-invariant |
L |
6.2284649311399 |
L(r)(E,1)/r! |
Ω |
0.43635050236646 |
Real period |
R |
0.89212469208157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31395d1 |
Quadratic twists by: -3 |