Atkin-Lehner |
2- 3- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464cb |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-1797434376192 = -1 · 220 · 32 · 72 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2952,88308] |
[a1,a2,a3,a4,a6] |
Generators |
[12:234:1] |
Generators of the group modulo torsion |
j |
-694800198793/438826752 |
j-invariant |
L |
9.8656637059591 |
L(r)(E,1)/r! |
Ω |
0.77327644832214 |
Real period |
R |
1.5947827769119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558a1 |
Quadratic twists by: -4 |