Atkin-Lehner |
3+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14007g |
Isogeny class |
Conductor |
14007 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-40036593496539969 = -1 · 39 · 78 · 233 · 29 |
Discriminant |
Eigenvalues |
1 3+ -1 7- -1 -5 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-433723,110182954] |
[a1,a2,a3,a4,a6] |
Generators |
[114:7832:1] |
Generators of the group modulo torsion |
j |
-9023242638637191634489/40036593496539969 |
j-invariant |
L |
3.8804741386881 |
L(r)(E,1)/r! |
Ω |
0.36494077379498 |
Real period |
R |
0.44304839046615 |
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 |
42021i1 98049t1 |
Quadratic twists by: -3 -7 |