Atkin-Lehner |
3- 5- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77805u |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
39881141015625 = 310 · 58 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84047,9394494] |
[a1,a2,a3,a4,a6] |
Generators |
[-298:2961:1] [2:3036:1] |
Generators of the group modulo torsion |
j |
90065401232782249/54706640625 |
j-invariant |
L |
7.2178506770257 |
L(r)(E,1)/r! |
Ω |
0.6387847405872 |
Real period |
R |
1.4124184209541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935a4 |
Quadratic twists by: -3 |