Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2340b |
Isogeny class |
Conductor |
2340 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-1825200 = -1 · 24 · 33 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] |
Generators of the group modulo torsion |
j |
442368/4225 |
j-invariant |
L |
2.9376080464283 |
L(r)(E,1)/r! |
Ω |
1.304875441775 |
Real period |
R |
0.37520925400006 |
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 |
9360z1 37440p1 2340d1 11700b1 |
Quadratic twists by: -4 8 -3 5 |