Atkin-Lehner |
2- 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23088m |
Isogeny class |
Conductor |
23088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
5907734352 = 24 · 310 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 4 13- -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2165,-37884] |
[a1,a2,a3,a4,a6] |
Generators |
[3684:10101:64] |
Generators of the group modulo torsion |
j |
70174287855616/369233397 |
j-invariant |
L |
4.1457718419058 |
L(r)(E,1)/r! |
Ω |
0.70009331369522 |
Real period |
R |
5.92174180328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5772d1 92352cg1 69264bb1 |
Quadratic twists by: -4 8 -3 |