Atkin-Lehner |
2- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2914d |
Isogeny class |
Conductor |
2914 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
28080 |
Modular degree for the optimal curve |
Δ |
-55971160912175104 = -1 · 213 · 313 · 475 |
Discriminant |
Eigenvalues |
2- 0 3 0 5 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-62176,12867459] |
[a1,a2,a3,a4,a6] |
j |
-26581868211026710737/55971160912175104 |
j-invariant |
L |
4.0810185428701 |
L(r)(E,1)/r! |
Ω |
0.3139245032977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23312n1 93248b1 26226g1 72850d1 |
Quadratic twists by: -4 8 -3 5 |