Atkin-Lehner |
2+ 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512k |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49172480 |
Modular degree for the optimal curve |
Δ |
4.5366675526459E+25 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-190163658,-955908342695] |
[a1,a2,a3,a4,a6] |
Generators |
[1484198293357712555873143421229028940:233772171553530580791412920415874364405:46750836007611822462107126286709] |
Generators of the group modulo torsion |
j |
65201677583452498396788736/3889461207686804725437 |
j-invariant |
L |
9.4275392283281 |
L(r)(E,1)/r! |
Ω |
0.040806970607748 |
Real period |
R |
57.756916820346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504v1 |
Quadratic twists by: -3 |