Atkin-Lehner |
2+ 3- 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606o |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.048816370441E+31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52498873638,-4624778106408780] |
[a1,a2,a3,a4,a6] |
Generators |
[-58933755016314113390517650049839242749903834228484267128243501:586792493758139857889890541134572168320828343793984420262947167:455968395056322381949427622740497408940837905749491750467] |
Generators of the group modulo torsion |
j |
21950587122055438565628055826259553/28104476960781514447389720576 |
j-invariant |
L |
3.7509021984129 |
L(r)(E,1)/r! |
Ω |
0.0099745990724206 |
Real period |
R |
94.011352516014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20202k2 |
Quadratic twists by: -3 |