Atkin-Lehner |
3+ 5- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
24495d |
Isogeny class |
Conductor |
24495 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-146653439479875 = -1 · 310 · 53 · 234 · 71 |
Discriminant |
Eigenvalues |
0 3+ 5- 3 2 1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,13155,-51694] |
[a1,a2,a3,a4,a6] |
Generators |
[30:607:1] |
Generators of the group modulo torsion |
j |
251746392184193024/146653439479875 |
j-invariant |
L |
4.2763798152986 |
L(r)(E,1)/r! |
Ω |
0.34237691491247 |
Real period |
R |
1.0408557618417 |
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 |
73485c1 122475v1 |
Quadratic twists by: -3 5 |