Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ee |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-205520896000000000 = -1 · 231 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -3 -5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10923500,-13896050000] |
[a1,a2,a3,a4,a6] |
Generators |
[8566957569003300:-202827929856649000:2101578791129] |
Generators of the group modulo torsion |
j |
-5745702166029/8192 |
j-invariant |
L |
4.0700689404887 |
L(r)(E,1)/r! |
Ω |
0.041522076916565 |
Real period |
R |
24.505451332957 |
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 |
78400kd2 2450be2 78400ed2 78400dn2 |
Quadratic twists by: -4 8 5 -7 |