Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650a |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
647743280625000000 = 26 · 34 · 510 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-737775,-241126875] |
[a1,a2,a3,a4,a6] |
Generators |
[-3938:15983:8] |
Generators of the group modulo torsion |
j |
2842342508784603889/41455569960000 |
j-invariant |
L |
3.4876753160624 |
L(r)(E,1)/r! |
Ω |
0.16304297971202 |
Real period |
R |
5.3477851701164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15330z2 |
Quadratic twists by: 5 |