Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648l |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-1015047936 = -1 · 28 · 37 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,249,250] |
[a1,a2,a3,a4,a6] |
Generators |
[3:32:1] |
Generators of the group modulo torsion |
j |
9148592/5439 |
j-invariant |
L |
4.1560556536734 |
L(r)(E,1)/r! |
Ω |
0.95189806524687 |
Real period |
R |
2.1830360862198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37296k1 6216s1 |
Quadratic twists by: -4 -3 |