Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400bv |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1052872704000000000 = 221 · 32 · 59 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-256833,-8438463] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:5772:1] |
Generators of the group modulo torsion |
j |
3659383421/2056392 |
j-invariant |
L |
5.7922876330162 |
L(r)(E,1)/r! |
Ω |
0.22814042480381 |
Real period |
R |
3.1736416495495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400id2 1950ba2 62400dk2 |
Quadratic twists by: -4 8 5 |