Atkin-Lehner |
3+ 5- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
115785d |
Isogeny class |
Conductor |
115785 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
2452032 |
Modular degree for the optimal curve |
Δ |
-2472869091796875 = -1 · 39 · 511 · 31 · 83 |
Discriminant |
Eigenvalues |
-2 3+ 5- 2 1 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2214297,1268243642] |
[a1,a2,a3,a4,a6] |
Generators |
[957:5062:1] |
Generators of the group modulo torsion |
j |
-61001432628092669952/125634765625 |
j-invariant |
L |
4.4845135385559 |
L(r)(E,1)/r! |
Ω |
0.39396507331627 |
Real period |
R |
0.51741014996507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999843714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115785b1 |
Quadratic twists by: -3 |