Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23850bm |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27840 |
Modular degree for the optimal curve |
Δ |
-11735988750 = -1 · 2 · 311 · 54 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -1 -6 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,558,1066] |
[a1,a2,a3,a4,a6] |
Generators |
[29:188:1] |
Generators of the group modulo torsion |
j |
42128975/25758 |
j-invariant |
L |
2.3904175990661 |
L(r)(E,1)/r! |
Ω |
0.78356829255977 |
Real period |
R |
0.25422349076694 |
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 |
7950bm1 23850cu1 |
Quadratic twists by: -3 5 |