Atkin-Lehner |
3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
94815bd |
Isogeny class |
Conductor |
94815 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-6799184287630875 = -1 · 36 · 53 · 79 · 432 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -5 -1 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1479702,692813952] |
[a1,a2,a3,a4,a6] |
Generators |
[702:-108:1] [-588:36872:1] |
Generators of the group modulo torsion |
j |
-12179700416512/231125 |
j-invariant |
L |
9.676173050574 |
L(r)(E,1)/r! |
Ω |
0.38735541255444 |
Real period |
R |
2.0816741631269 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10535a1 94815l1 |
Quadratic twists by: -3 -7 |