Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77658bl |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
209088 |
Modular degree for the optimal curve |
Δ |
1507971741696 = 211 · 33 · 73 · 433 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -6 -7 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3156,-34416] |
[a1,a2,a3,a4,a6] |
Generators |
[240:3492:1] [-40:188:1] |
Generators of the group modulo torsion |
j |
43725816667/18966528 |
j-invariant |
L |
16.738934637701 |
L(r)(E,1)/r! |
Ω |
0.66263338145497 |
Real period |
R |
0.12758197261727 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77658a1 |
Quadratic twists by: -43 |