Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780bd |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
516672 |
Modular degree for the optimal curve |
Δ |
-722626899750000 = -1 · 24 · 313 · 56 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17274,959265] |
[a1,a2,a3,a4,a6] |
Generators |
[192:3375:1] |
Generators of the group modulo torsion |
j |
727044935369984/921717984375 |
j-invariant |
L |
7.0949800379417 |
L(r)(E,1)/r! |
Ω |
0.34067642652456 |
Real period |
R |
0.26700198512042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108780m1 |
Quadratic twists by: -7 |