Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440v |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-102394044862099200 = -1 · 28 · 310 · 52 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255783,-52117382] |
[a1,a2,a3,a4,a6] |
j |
-9916793018153296/548664935175 |
j-invariant |
L |
3.3857743754518 |
L(r)(E,1)/r! |
Ω |
0.10580542572883 |
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 |
39480bd1 |
Quadratic twists by: -3 |