Atkin-Lehner |
2+ 3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118950z |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
2454983537752687500 = 22 · 37 · 56 · 136 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1236201,-523735952] |
[a1,a2,a3,a4,a6] |
Generators |
[1883:-62796:1] [-679:1986:1] |
Generators of the group modulo torsion |
j |
13371202093086762625/157118946416172 |
j-invariant |
L |
10.447906302048 |
L(r)(E,1)/r! |
Ω |
0.14328008130737 |
Real period |
R |
0.86808882138442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001541 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758f2 |
Quadratic twists by: 5 |