Atkin-Lehner |
5+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7735c |
Isogeny class |
Conductor |
7735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1652374267578125 = 516 · 72 · 13 · 17 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65893,-6193168] |
[a1,a2,a3,a4,a6] |
Generators |
[-1314:4031:8] |
Generators of the group modulo torsion |
j |
31639919893598246049/1652374267578125 |
j-invariant |
L |
1.9216295083991 |
L(r)(E,1)/r! |
Ω |
0.29894993103632 |
Real period |
R |
6.4279309305666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123760bh4 69615t4 38675h4 54145s4 |
Quadratic twists by: -4 -3 5 -7 |