Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400fq |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-3.7024595836928E+22 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1200500,-9243850000] |
[a1,a2,a3,a4,a6] |
Generators |
[25836411187513216128204222872930495700:98249305564873991259772257928869586000:13506018999778373781199474535684661] |
Generators of the group modulo torsion |
j |
1323/256 |
j-invariant |
L |
12.51818142921 |
L(r)(E,1)/r! |
Ω |
0.054482140088 |
Real period |
R |
57.441674505582 |
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 |
78400lj1 2450r1 78400fs1 78400dy1 |
Quadratic twists by: -4 8 5 -7 |