Atkin-Lehner |
2- 3+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97008t |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-59997050992852992 = -1 · 240 · 33 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69192,13732848] |
[a1,a2,a3,a4,a6] |
Generators |
[2055244620933920556:90791437498384384000:29797631391982167] |
Generators of the group modulo torsion |
j |
-8944121560009033/14647717527552 |
j-invariant |
L |
7.8336444007962 |
L(r)(E,1)/r! |
Ω |
0.31458747718986 |
Real period |
R |
24.90132299175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12126c1 |
Quadratic twists by: -4 |