Atkin-Lehner |
2+ 3- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110n |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-614859070320 = -1 · 24 · 36 · 5 · 113 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,180,-37760] |
[a1,a2,a3,a4,a6] |
Generators |
[6420:37292:125] |
Generators of the group modulo torsion |
j |
881974079/843428080 |
j-invariant |
L |
5.8312908854489 |
L(r)(E,1)/r! |
Ω |
0.42623827675849 |
Real period |
R |
6.8404120517618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790p1 |
Quadratic twists by: -3 |