Atkin-Lehner |
5- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
78155m |
Isogeny class |
Conductor |
78155 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-22705668755 = -1 · 5 · 76 · 113 · 29 |
Discriminant |
Eigenvalues |
2 3 5- 7- 11- 1 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6517,202627] |
[a1,a2,a3,a4,a6] |
j |
-260182831104/192995 |
j-invariant |
L |
14.323325816015 |
L(r)(E,1)/r! |
Ω |
1.1936104870448 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1595b1 |
Quadratic twists by: -7 |