Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400eg |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1605632000 = -1 · 218 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 0 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13317313,-18710099297] |
[a1,a2,a3,a4,a6] |
Generators |
[246103783731749224722875572683:-23362167361821004992861162439820:23538771001822732919212951] |
Generators of the group modulo torsion |
j |
-162677523113838677 |
j-invariant |
L |
7.4111334147231 |
L(r)(E,1)/r! |
Ω |
0.03951531101391 |
Real period |
R |
46.887733036659 |
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 |
78400kk2 1225h2 78400eu2 78400ds2 |
Quadratic twists by: -4 8 5 -7 |