Atkin-Lehner |
2+ 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27550h |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
994555000000 = 26 · 57 · 193 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 -3 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2525,8125] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:195:1] [-25:250:1] |
Generators of the group modulo torsion |
j |
114013572049/63651520 |
j-invariant |
L |
5.1803445150912 |
L(r)(E,1)/r! |
Ω |
0.76016279572664 |
Real period |
R |
0.56789858525633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5510h1 |
Quadratic twists by: 5 |