Atkin-Lehner |
2+ 3- 7- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89838j |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-60569794709028864 = -1 · 222 · 310 · 73 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9441,-11843843] |
[a1,a2,a3,a4,a6] |
Generators |
[531:11252:1] |
Generators of the group modulo torsion |
j |
-127666235336977/83086138146816 |
j-invariant |
L |
6.1872971887681 |
L(r)(E,1)/r! |
Ω |
0.15786931629412 |
Real period |
R |
6.5320875529618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29946p1 |
Quadratic twists by: -3 |