Atkin-Lehner |
2+ 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2664a |
Isogeny class |
Conductor |
2664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-1491499008 = -1 · 211 · 39 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 -5 3 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189,1566] |
[a1,a2,a3,a4,a6] |
Generators |
[6:54:1] |
Generators of the group modulo torsion |
j |
18522/37 |
j-invariant |
L |
2.9606003100458 |
L(r)(E,1)/r! |
Ω |
1.0433274198732 |
Real period |
R |
1.4188260816559 |
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 |
5328b1 21312e1 2664e1 66600bc1 |
Quadratic twists by: -4 8 -3 5 |