Atkin-Lehner |
2+ 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910l |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16872960 |
Modular degree for the optimal curve |
Δ |
-1.072687816704E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,32647597,-140255726547] |
[a1,a2,a3,a4,a6] |
Generators |
[41284806808598906:36262435784630670147:53454818663] |
Generators of the group modulo torsion |
j |
32710645463537765084759/91176960000000000000 |
j-invariant |
L |
3.7802556386388 |
L(r)(E,1)/r! |
Ω |
0.03702666479883 |
Real period |
R |
25.523873532611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11130u1 |
Quadratic twists by: -7 |