Atkin-Lehner |
3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285p |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
1685388596265 = 32 · 5 · 11 · 237 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-125649,17132311] |
[a1,a2,a3,a4,a6] |
Generators |
[582765974912:-583368075183:2791309312] |
Generators of the group modulo torsion |
j |
1481933914201/11385 |
j-invariant |
L |
10.877224230693 |
L(r)(E,1)/r! |
Ω |
0.75406300976317 |
Real period |
R |
14.42482137829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3795k1 |
Quadratic twists by: -23 |