Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400bg |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
87340032000000 = 216 · 38 · 56 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30433,-1983263] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:216:1] [-88:75:1] |
Generators of the group modulo torsion |
j |
3044193988/85293 |
j-invariant |
L |
7.761080201238 |
L(r)(E,1)/r! |
Ω |
0.36208086109097 |
Real period |
R |
10.717330070804 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400hl4 7800u3 2496i3 |
Quadratic twists by: -4 8 5 |