Atkin-Lehner |
2- 3- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
60390bg |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
3360 |
Product of Tamagawa factors cp |
deg |
26880000 |
Modular degree for the optimal curve |
Δ |
-2.0468155040038E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,77084518,2161031717081] |
[a1,a2,a3,a4,a6] |
Generators |
[-3459:1362979:1] |
Generators of the group modulo torsion |
j |
69486057690591403472173991/2807703023324760000000000 |
j-invariant |
L |
11.226519961206 |
L(r)(E,1)/r! |
Ω |
0.035214937796993 |
Real period |
R |
0.37952373486431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20130e1 |
Quadratic twists by: -3 |