Atkin-Lehner |
2+ 7+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
77714a |
Isogeny class |
Conductor |
77714 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
99891792 |
Modular degree for the optimal curve |
Δ |
2.3550158027414E+19 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ 6 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17619673895,900210770141610] |
[a1,a2,a3,a4,a6] |
Generators |
[26184256:35877407:343] |
Generators of the group modulo torsion |
j |
104938050229352357350159344553/4085164089344 |
j-invariant |
L |
2.2664408770326 |
L(r)(E,1)/r! |
Ω |
0.07880198754774 |
Real period |
R |
9.5870715412244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001765 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
77714b1 |
Quadratic twists by: -7 |