Atkin-Lehner |
3+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4845d |
Isogeny class |
Conductor |
4845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-564941535 = -1 · 3 · 5 · 172 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30,-1158] |
[a1,a2,a3,a4,a6] |
j |
-2992209121/564941535 |
j-invariant |
L |
1.4597538470414 |
L(r)(E,1)/r! |
Ω |
0.7298769235207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
77520ct1 14535g1 24225k1 82365k1 |
Quadratic twists by: -4 -3 5 17 |