Atkin-Lehner |
3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33825bb |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-2628888244266796875 = -1 · 39 · 58 · 112 · 414 |
Discriminant |
Eigenvalues |
0 3- 5- 3 11- 3 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1263333,551661869] |
[a1,a2,a3,a4,a6] |
Generators |
[177:-18266:1] |
Generators of the group modulo torsion |
j |
-570844134768640000/6729953905323 |
j-invariant |
L |
6.7029617525182 |
L(r)(E,1)/r! |
Ω |
0.2572167495878 |
Real period |
R |
0.36193868072899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475bx1 33825h1 |
Quadratic twists by: -3 5 |