Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280c |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-62677597500000000 = -1 · 28 · 36 · 510 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101036,17293140] |
[a1,a2,a3,a4,a6] |
j |
-445570549505984464/244834365234375 |
j-invariant |
L |
1.9496148202609 |
L(r)(E,1)/r! |
Ω |
0.32493580337681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560bn1 114240el1 42840bz1 71400dp1 |
Quadratic twists by: -4 8 -3 5 |