Atkin-Lehner |
3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33825w |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-85162996950075 = -1 · 35 · 52 · 112 · 415 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 11- 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-114698,14919824] |
[a1,a2,a3,a4,a6] |
j |
-6675057717191864320/3406519878003 |
j-invariant |
L |
1.1963901742179 |
L(r)(E,1)/r! |
Ω |
0.59819508711009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
101475bh1 33825n2 |
Quadratic twists by: -3 5 |