Atkin-Lehner |
2- 3- 5+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
78210bd |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1788175670688000 = -1 · 28 · 312 · 53 · 113 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66758,-6927019] |
[a1,a2,a3,a4,a6] |
j |
-45133606323376921/2452915872000 |
j-invariant |
L |
2.3686144662814 |
L(r)(E,1)/r! |
Ω |
0.14803840726691 |
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 |
26070v1 |
Quadratic twists by: -3 |