Atkin-Lehner |
2+ 3+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698d |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
324480 |
Modular degree for the optimal curve |
Δ |
-25142029814071296 = -1 · 226 · 33 · 7 · 172 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-136263,-20775235] |
[a1,a2,a3,a4,a6] |
j |
-10363240560376733931/931186289410048 |
j-invariant |
L |
0.24722155948914 |
L(r)(E,1)/r! |
Ω |
0.12361077970271 |
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 |
40698ba1 |
Quadratic twists by: -3 |