Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400cy |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
2.361388965078E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1396124033,-20078961179937] |
[a1,a2,a3,a4,a6] |
Generators |
[-21587:11100:1] |
Generators of the group modulo torsion |
j |
73474353581350183614361/576510977802240 |
j-invariant |
L |
7.4295597214538 |
L(r)(E,1)/r! |
Ω |
0.024698396497676 |
Real period |
R |
4.1779363883324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400ev4 1950n4 12480b4 |
Quadratic twists by: -4 8 5 |