Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bd |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-6181733376 = -1 · 210 · 36 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 2 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,261,-3483] |
[a1,a2,a3,a4,a6] |
Generators |
[22:101:1] |
Generators of the group modulo torsion |
j |
15925559/50176 |
j-invariant |
L |
4.4599867065034 |
L(r)(E,1)/r! |
Ω |
0.68604360982337 |
Real period |
R |
0.81262813373695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366p1 21294cc1 |
Quadratic twists by: -3 13 |