Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910cq |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
37120 |
Modular degree for the optimal curve |
Δ |
-279229440 = -1 · 210 · 3 · 5 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 1 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-120,-960] |
[a1,a2,a3,a4,a6] |
Generators |
[32:152:1] |
Generators of the group modulo torsion |
j |
-557441767/814080 |
j-invariant |
L |
14.201474507613 |
L(r)(E,1)/r! |
Ω |
0.68525058994948 |
Real period |
R |
1.0362249019895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77910bt1 |
Quadratic twists by: -7 |