Atkin-Lehner |
2+ 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350s |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2739850312500 = -1 · 22 · 34 · 57 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1124,78398] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:-259:1] [-29:161:1] |
Generators of the group modulo torsion |
j |
10063705679/175350420 |
j-invariant |
L |
8.1754453462381 |
L(r)(E,1)/r! |
Ω |
0.6014309269667 |
Real period |
R |
0.42479136940704 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870q2 |
Quadratic twists by: 5 |