Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
1302l |
Isogeny class |
Conductor |
1302 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3438856662962112 = 26 · 32 · 7 · 318 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40744,1418345] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:1401:1] |
Generators of the group modulo torsion |
j |
7480237168421652097/3438856662962112 |
j-invariant |
L |
3.0095643248171 |
L(r)(E,1)/r! |
Ω |
0.39895753203486 |
Real period |
R |
1.2572617731462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10416bl3 41664bt3 3906h3 32550bc3 |
Quadratic twists by: -4 8 -3 5 |