Atkin-Lehner |
2- 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232cc |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
723597277003776 = 219 · 312 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29377,1452385] |
[a1,a2,a3,a4,a6] |
Generators |
[-1212:90545:64] |
Generators of the group modulo torsion |
j |
10695987909937/2760304554 |
j-invariant |
L |
6.6963645600948 |
L(r)(E,1)/r! |
Ω |
0.47480151094658 |
Real period |
R |
7.0517515284689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232bs2 17808r2 |
Quadratic twists by: -4 8 |