Atkin-Lehner |
2+ 3+ 11- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86526b |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-64393247671961472 = -1 · 27 · 39 · 11 · 192 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 11- -5 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-110526,-18656236] |
[a1,a2,a3,a4,a6] |
Generators |
[3664895:144507709:2197] |
Generators of the group modulo torsion |
j |
-7586264641998771/3271515910784 |
j-invariant |
L |
5.7402805510969 |
L(r)(E,1)/r! |
Ω |
0.1282263471099 |
Real period |
R |
11.19169476759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86526n1 |
Quadratic twists by: -3 |