Atkin-Lehner |
2- 3+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76212d |
Isogeny class |
Conductor |
76212 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
77184 |
Modular degree for the optimal curve |
Δ |
-2261352708864 = -1 · 28 · 33 · 292 · 733 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 0 2 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2592,51524] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:174:1] |
Generators of the group modulo torsion |
j |
278628139008/327163297 |
j-invariant |
L |
6.314552171942 |
L(r)(E,1)/r! |
Ω |
0.54774803274826 |
Real period |
R |
0.96068383581164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76212b1 |
Quadratic twists by: -3 |