Atkin-Lehner |
3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3075l |
Isogeny class |
Conductor |
3075 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
-30548021748046875 = -1 · 33 · 510 · 415 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 -3 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,74792,2979994] |
[a1,a2,a3,a4,a6] |
Generators |
[44:2521:1] |
Generators of the group modulo torsion |
j |
4737871769600/3128117427 |
j-invariant |
L |
1.9755554135567 |
L(r)(E,1)/r! |
Ω |
0.23276873413639 |
Real period |
R |
0.56581350895665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49200bv2 9225s2 3075g1 126075k2 |
Quadratic twists by: -4 -3 5 41 |