Atkin-Lehner |
3+ 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
57195b |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-3127136625 = -1 · 39 · 53 · 31 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 -5 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137,-2726] |
[a1,a2,a3,a4,a6] |
Generators |
[22:56:1] |
Generators of the group modulo torsion |
j |
-14348907/158875 |
j-invariant |
L |
2.6838816424674 |
L(r)(E,1)/r! |
Ω |
0.60401682081249 |
Real period |
R |
0.74056481818464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57195a1 |
Quadratic twists by: -3 |