Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400dc |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-199041535180800 = -1 · 227 · 33 · 52 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-215233,-38511457] |
[a1,a2,a3,a4,a6] |
Generators |
[539:1536:1] |
Generators of the group modulo torsion |
j |
-168256703745625/30371328 |
j-invariant |
L |
9.2646096050449 |
L(r)(E,1)/r! |
Ω |
0.1108249318903 |
Real period |
R |
2.3221333180125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400fe2 1950o2 62400bm2 |
Quadratic twists by: -4 8 5 |