Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40920h |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9278534707200 = 211 · 312 · 52 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-363976,84640876] |
[a1,a2,a3,a4,a6] |
Generators |
[15914:680157:8] |
Generators of the group modulo torsion |
j |
2603833419363916178/4530534525 |
j-invariant |
L |
3.4936403009782 |
L(r)(E,1)/r! |
Ω |
0.62394258213631 |
Real period |
R |
5.5992977575164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840n4 122760by4 |
Quadratic twists by: -4 -3 |