Atkin-Lehner |
3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33825i |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
104878640625 = 3 · 56 · 113 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1738,22406] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:238:1] |
Generators of the group modulo torsion |
j |
37159393753/6712233 |
j-invariant |
L |
1.8564334248228 |
L(r)(E,1)/r! |
Ω |
1.0086427721169 |
Real period |
R |
0.61350872550138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101475be1 1353d1 |
Quadratic twists by: -3 5 |