Atkin-Lehner |
3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33825d |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1266217734375 = -1 · 33 · 57 · 114 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1875,45000] |
[a1,a2,a3,a4,a6] |
Generators |
[152336:1602223:4096] |
Generators of the group modulo torsion |
j |
46617130799/81037935 |
j-invariant |
L |
4.427977277434 |
L(r)(E,1)/r! |
Ω |
0.59012009763397 |
Real period |
R |
7.5035188518192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101475bu1 6765f1 |
Quadratic twists by: -3 5 |