Atkin-Lehner |
3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425cw |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
122256 |
Modular degree for the optimal curve |
Δ |
-71778115591875 = -1 · 33 · 54 · 74 · 116 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-55533,-5072056] |
[a1,a2,a3,a4,a6] |
j |
-12621552025600/47832147 |
j-invariant |
L |
2.798369851874 |
L(r)(E,1)/r! |
Ω |
0.155464991771 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
121275ew1 40425h1 40425bl1 |
Quadratic twists by: -3 5 -7 |