Atkin-Lehner |
5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44965c |
Isogeny class |
Conductor |
44965 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
297792 |
Modular degree for the optimal curve |
Δ |
-2918772998046875 = -1 · 511 · 173 · 233 |
Discriminant |
Eigenvalues |
-1 1 5+ -4 -5 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5049,-2595220] |
[a1,a2,a3,a4,a6] |
Generators |
[136:714:1] |
Generators of the group modulo torsion |
j |
1169905924153/239892578125 |
j-invariant |
L |
2.5745072593709 |
L(r)(E,1)/r! |
Ω |
0.21279827064696 |
Real period |
R |
2.0163911197445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44965g1 |
Quadratic twists by: -23 |