Atkin-Lehner |
2+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
65702f |
Isogeny class |
Conductor |
65702 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-45071572 = -1 · 22 · 74 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 1 13- -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-46,-348] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-57:1] |
Generators of the group modulo torsion |
j |
-28896625/124852 |
j-invariant |
L |
2.376932432793 |
L(r)(E,1)/r! |
Ω |
0.83556124818548 |
Real period |
R |
0.71117839588565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65702o1 |
Quadratic twists by: -19 |