Atkin-Lehner |
2- 3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910bu |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
26836992 |
Modular degree for the optimal curve |
Δ |
-2.3473869677041E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,61161064,143007225689] |
[a1,a2,a3,a4,a6] |
Generators |
[-1723:181181:1] |
Generators of the group modulo torsion |
j |
215060458751101009927439/199524600098946662400 |
j-invariant |
L |
5.8847926531625 |
L(r)(E,1)/r! |
Ω |
0.044174984796685 |
Real period |
R |
4.7576963985057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005383 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130bg1 |
Quadratic twists by: -7 |