Atkin-Lehner |
3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33825b |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
193501091953125 = 33 · 57 · 113 · 413 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 11+ 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-277133,-56057707] |
[a1,a2,a3,a4,a6] |
Generators |
[-2085117:422008:6859] |
Generators of the group modulo torsion |
j |
150650293621620736/12384069885 |
j-invariant |
L |
3.4969340092223 |
L(r)(E,1)/r! |
Ω |
0.2080796005498 |
Real period |
R |
8.4028756302462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475br2 6765e2 |
Quadratic twists by: -3 5 |