Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616dg |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-3.2199380194319E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ -2 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21270459,37768253418] |
[a1,a2,a3,a4,a6] |
Generators |
[3215949:29174034:1331] |
Generators of the group modulo torsion |
j |
-34068278205171/10307264 |
j-invariant |
L |
7.1407065861466 |
L(r)(E,1)/r! |
Ω |
0.1679517546077 |
Real period |
R |
10.629103880969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702bi1 77616dw1 77616cu1 |
Quadratic twists by: -4 -3 -7 |