Atkin-Lehner |
2+ 3+ 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
95238f |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-6180565248 = -1 · 28 · 33 · 11 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,387,-2491] |
[a1,a2,a3,a4,a6] |
Generators |
[10:43:1] |
Generators of the group modulo torsion |
j |
237061729269/228909824 |
j-invariant |
L |
3.7474208956839 |
L(r)(E,1)/r! |
Ω |
0.73196196470858 |
Real period |
R |
1.2799233697409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95238bt1 |
Quadratic twists by: -3 |