Atkin-Lehner |
3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715bj |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
-1200375653715 = -1 · 36 · 5 · 7 · 196 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 3 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4332,121747] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:10997:27] |
Generators of the group modulo torsion |
j |
-262144/35 |
j-invariant |
L |
6.0185334420178 |
L(r)(E,1)/r! |
Ω |
0.83792581234098 |
Real period |
R |
3.5913283546128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999737038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12635a1 315a1 |
Quadratic twists by: -3 -19 |