Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400l |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
887932631250000 = 24 · 35 · 58 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-356783,-81895188] |
[a1,a2,a3,a4,a6] |
Generators |
[5546:14875:8] |
Generators of the group modulo torsion |
j |
20090806898980864/3551730525 |
j-invariant |
L |
5.9260757901467 |
L(r)(E,1)/r! |
Ω |
0.19534532497309 |
Real period |
R |
3.7920511991497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bs1 |
Quadratic twists by: 5 |