Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920bt |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
18385920 |
Modular degree for the optimal curve |
Δ |
9.22077958758E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-537548856,-4774938608556] |
[a1,a2,a3,a4,a6] |
Generators |
[-12636:10830:1] |
Generators of the group modulo torsion |
j |
4193895363953824558241038009/22511668914990297907200 |
j-invariant |
L |
5.9853820043572 |
L(r)(E,1)/r! |
Ω |
0.031364286850985 |
Real period |
R |
3.1805718144727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3990c1 127680es1 95760fn1 |
Quadratic twists by: -4 8 -3 |