Atkin-Lehner |
2+ 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77658p |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-577303588111268592 = -1 · 24 · 32 · 73 · 438 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12904,36552854] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:5815:1] |
Generators of the group modulo torsion |
j |
37595375/91325808 |
j-invariant |
L |
4.594450414159 |
L(r)(E,1)/r! |
Ω |
0.22813201623586 |
Real period |
R |
5.0348592974241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1806j1 |
Quadratic twists by: -43 |