Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ey |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-392000 = -1 · 26 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 4 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12,22] |
[a1,a2,a3,a4,a6] |
Generators |
[7:20:1] |
Generators of the group modulo torsion |
j |
448 |
j-invariant |
L |
5.9740532089552 |
L(r)(E,1)/r! |
Ω |
2.0860442077182 |
Real period |
R |
1.4319095418208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400eo1 39200cs1 78400en1 78400dq1 |
Quadratic twists by: -4 8 5 -7 |