Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77400y |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2902500000000 = 28 · 33 · 510 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16575,817250] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:1250:1] |
Generators of the group modulo torsion |
j |
4662947952/26875 |
j-invariant |
L |
6.2947729059038 |
L(r)(E,1)/r! |
Ω |
0.80787102194455 |
Real period |
R |
0.97397553788822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77400b2 15480a2 |
Quadratic twists by: -3 5 |