Atkin-Lehner |
3+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4641a |
Isogeny class |
Conductor |
4641 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
22801233 = 3 · 7 · 13 · 174 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-102,-366] |
[a1,a2,a3,a4,a6] |
Generators |
[1780:3606:125] |
Generators of the group modulo torsion |
j |
117433042273/22801233 |
j-invariant |
L |
2.3701611465513 |
L(r)(E,1)/r! |
Ω |
1.5224985249062 |
Real period |
R |
6.2270303918943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74256dc1 13923g1 116025bf1 32487n1 |
Quadratic twists by: -4 -3 5 -7 |