Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850be |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-169580207812500 = -1 · 22 · 36 · 58 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3042,630616] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1268:1] |
Generators of the group modulo torsion |
j |
-273359449/14887700 |
j-invariant |
L |
3.3126972445448 |
L(r)(E,1)/r! |
Ω |
0.47403526993562 |
Real period |
R |
0.58235772994182 |
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 |
2650h1 4770bc1 |
Quadratic twists by: -3 5 |