Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200bq |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10281960000000 = 29 · 32 · 57 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13408,581812] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:1014:1] |
Generators of the group modulo torsion |
j |
33324076232/1285245 |
j-invariant |
L |
3.8826414634115 |
L(r)(E,1)/r! |
Ω |
0.71725366599731 |
Real period |
R |
1.3533013658469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31200cg3 62400gu3 93600bx3 6240k3 |
Quadratic twists by: -4 8 -3 5 |