Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7740a |
Isogeny class |
Conductor |
7740 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1128492000000 = -1 · 28 · 38 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 5 -3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2472,19348] |
[a1,a2,a3,a4,a6] |
j |
8951619584/6046875 |
j-invariant |
L |
2.1883411631719 |
L(r)(E,1)/r! |
Ω |
0.54708529079297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30960bd1 123840cm1 2580a1 38700c1 |
Quadratic twists by: -4 8 -3 5 |