Atkin-Lehner |
3+ 5+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33915a |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15040 |
Modular degree for the optimal curve |
Δ |
-4641505155 = -1 · 32 · 5 · 75 · 17 · 192 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 0 -3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-271,3792] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-67:1] [-20:28:1] |
Generators of the group modulo torsion |
j |
-2209190477824/4641505155 |
j-invariant |
L |
6.0894496354506 |
L(r)(E,1)/r! |
Ω |
1.2216968533982 |
Real period |
R |
0.24922097566638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101745bi1 |
Quadratic twists by: -3 |