Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040bg |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8.4184645439238E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2292174416,-42007509472320] |
[a1,a2,a3,a4,a6] |
Generators |
[-3616223040667794756267214268304538364983170:-43030801016001529762612665920750743869787670:125542702306508788103606837743599887031] |
Generators of the group modulo torsion |
j |
325167211682511268159086007249/2055289195293889921758000 |
j-invariant |
L |
5.0454359312607 |
L(r)(E,1)/r! |
Ω |
0.021827450173536 |
Real period |
R |
57.787738546933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999969577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130bc3 |
Quadratic twists by: -4 |