Atkin-Lehner |
2- 3+ 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
95238by |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
185472 |
Modular degree for the optimal curve |
Δ |
-1612962958464 = -1 · 27 · 39 · 113 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 11- 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3998,115885] |
[a1,a2,a3,a4,a6] |
Generators |
[7:293:1] |
Generators of the group modulo torsion |
j |
-358970654043/81947008 |
j-invariant |
L |
11.849676588817 |
L(r)(E,1)/r! |
Ω |
0.80575132680882 |
Real period |
R |
0.35015165010208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95238b1 |
Quadratic twists by: -3 |