Atkin-Lehner |
2+ 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690t |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
3.324164163651E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18788229,31349091285] |
[a1,a2,a3,a4,a6] |
Generators |
[-1481:237224:1] |
Generators of the group modulo torsion |
j |
1006129149693109711084369/45598959720864000 |
j-invariant |
L |
4.8813637627312 |
L(r)(E,1)/r! |
Ω |
0.19515473077205 |
Real period |
R |
4.1687978759386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
10230bb3 |
Quadratic twists by: -3 |