Atkin-Lehner |
2- 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25584r |
Isogeny class |
Conductor |
25584 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
84775503032064 = 28 · 37 · 133 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 -3 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2748532,1754794156] |
[a1,a2,a3,a4,a6] |
Generators |
[957:26:1] |
Generators of the group modulo torsion |
j |
8969873074652230258768/331154308719 |
j-invariant |
L |
2.4114378853523 |
L(r)(E,1)/r! |
Ω |
0.44829016240384 |
Real period |
R |
1.7930632787936 |
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 |
6396f2 102336cc2 76752ck2 |
Quadratic twists by: -4 8 -3 |