Atkin-Lehner |
3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
25773q |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
141801996738721869 = 310 · 113 · 715 |
Discriminant |
Eigenvalues |
0 3- -3 -5 11+ 5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-248607,-44220148] |
[a1,a2,a3,a4,a6] |
Generators |
[-342:958:1] |
Generators of the group modulo torsion |
j |
1276695895464378368/106537938947199 |
j-invariant |
L |
2.6040761197933 |
L(r)(E,1)/r! |
Ω |
0.21494159944735 |
Real period |
R |
0.1211527282987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77319h1 25773p1 |
Quadratic twists by: -3 -11 |