Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400l |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
276349320000000000 = 212 · 312 · 510 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1059033,-418365063] |
[a1,a2,a3,a4,a6] |
Generators |
[101615474058:1110090891825:81746504] |
Generators of the group modulo torsion |
j |
2052450196928704/4317958125 |
j-invariant |
L |
4.3927903705015 |
L(r)(E,1)/r! |
Ω |
0.14884252903541 |
Real period |
R |
14.7565027245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400ci2 31200x1 12480ba2 |
Quadratic twists by: -4 8 5 |