Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7800o |
Isogeny class |
Conductor |
7800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
749554884000000000 = 211 · 38 · 59 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-247408,-22467188] |
[a1,a2,a3,a4,a6] |
Generators |
[597:6500:1] |
Generators of the group modulo torsion |
j |
52337949619538/23423590125 |
j-invariant |
L |
3.5740805758407 |
L(r)(E,1)/r! |
Ω |
0.22318891203911 |
Real period |
R |
2.001712665286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15600r3 62400bz4 23400n4 1560c3 |
Quadratic twists by: -4 8 -3 5 |