Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078dl |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
810 |
Product of Tamagawa factors cp |
deg |
3369600 |
Modular degree for the optimal curve |
Δ |
4.7068965473756E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1914182,-964585116] |
[a1,a2,a3,a4,a6] |
Generators |
[-788:7786:1] |
Generators of the group modulo torsion |
j |
950881924598593/57701597184 |
j-invariant |
L |
10.955272141284 |
L(r)(E,1)/r! |
Ω |
0.12883963566441 |
Real period |
R |
0.9447810481453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990622 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
78078bb1 |
Quadratic twists by: 13 |