Atkin-Lehner |
2- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
30256i |
Isogeny class |
Conductor |
30256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-230747262976 = -1 · 212 · 314 · 61 |
Discriminant |
Eigenvalues |
2- -2 -3 -3 3 5 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1448,9684] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:62:1] |
Generators of the group modulo torsion |
j |
81916141607/56334781 |
j-invariant |
L |
2.1498579406873 |
L(r)(E,1)/r! |
Ω |
0.6263085505155 |
Real period |
R |
0.42907324571047 |
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 |
1891a1 121024ba1 |
Quadratic twists by: -4 8 |