Atkin-Lehner |
3+ 43+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
23607b |
Isogeny class |
Conductor |
23607 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
733824 |
Modular degree for the optimal curve |
Δ |
-21667858921857321 = -1 · 39 · 433 · 614 |
Discriminant |
Eigenvalues |
-1 3+ -3 1 -5 -5 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13046159,18140540464] |
[a1,a2,a3,a4,a6] |
Generators |
[2692:48887:1] |
Generators of the group modulo torsion |
j |
-12476144322614301539211/1100841280387 |
j-invariant |
L |
1.4771102805858 |
L(r)(E,1)/r! |
Ω |
0.29269746057379 |
Real period |
R |
1.2616357156722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23607a1 |
Quadratic twists by: -3 |