Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
41772c |
Isogeny class |
Conductor |
41772 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
313200 |
Modular degree for the optimal curve |
Δ |
-29027630918928816 = -1 · 24 · 36 · 597 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,37131,-7733106] |
[a1,a2,a3,a4,a6] |
Generators |
[17545:59177:125] |
Generators of the group modulo torsion |
j |
8388608/43011 |
j-invariant |
L |
3.8157864617701 |
L(r)(E,1)/r! |
Ω |
0.1875053673996 |
Real period |
R |
3.3917130966132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125316g1 708a1 |
Quadratic twists by: -3 -59 |