Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446cz |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
294 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-2484851736318336 = -1 · 27 · 37 · 76 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ 0 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-160525,24857489] |
[a1,a2,a3,a4,a6] |
Generators |
[116:2735:1] |
Generators of the group modulo torsion |
j |
-3888335020909249/21120891264 |
j-invariant |
L |
12.683342589359 |
L(r)(E,1)/r! |
Ω |
0.4602094191037 |
Real period |
R |
0.093741282255092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1254f1 |
Quadratic twists by: -7 |