Atkin-Lehner |
2+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87814a |
Isogeny class |
Conductor |
87814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
642048 |
Modular degree for the optimal curve |
Δ |
-179108813363468588 = -1 · 22 · 238 · 833 |
Discriminant |
Eigenvalues |
2+ 1 0 1 -3 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,102879,-15906384] |
[a1,a2,a3,a4,a6] |
Generators |
[159:2036:1] [3954:247446:1] |
Generators of the group modulo torsion |
j |
813472670375/1209901292 |
j-invariant |
L |
9.3767626597505 |
L(r)(E,1)/r! |
Ω |
0.16973977480294 |
Real period |
R |
6.9052485419911 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3818a1 |
Quadratic twists by: -23 |