Atkin-Lehner |
2- 3- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14136d |
Isogeny class |
Conductor |
14136 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
2480104656 = 24 · 36 · 193 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 0 2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70867,-7284970] |
[a1,a2,a3,a4,a6] |
Generators |
[42355:347319:125] |
Generators of the group modulo torsion |
j |
2460039058204469248/155006541 |
j-invariant |
L |
6.6782760964396 |
L(r)(E,1)/r! |
Ω |
0.29260923827109 |
Real period |
R |
7.6077298355294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28272a1 113088d1 42408d1 |
Quadratic twists by: -4 8 -3 |