Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7084d |
Isogeny class |
Conductor |
7084 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5472 |
Modular degree for the optimal curve |
Δ |
-2181872 = -1 · 24 · 72 · 112 · 23 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 11- 7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9702,371077] |
[a1,a2,a3,a4,a6] |
Generators |
[63:77:1] |
Generators of the group modulo torsion |
j |
-6312949321739008/136367 |
j-invariant |
L |
3.8945440063222 |
L(r)(E,1)/r! |
Ω |
1.8801759112561 |
Real period |
R |
0.51784303572428 |
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 |
28336bm1 113344b1 63756q1 49588n1 |
Quadratic twists by: -4 8 -3 -7 |