Atkin-Lehner |
2- 3- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
78210bn |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-29750772721071600 = -1 · 24 · 312 · 52 · 116 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69062,-10830139] |
[a1,a2,a3,a4,a6] |
Generators |
[979299:34617331:729] |
Generators of the group modulo torsion |
j |
-49969815021675289/40810387820400 |
j-invariant |
L |
11.827214853693 |
L(r)(E,1)/r! |
Ω |
0.14230368372165 |
Real period |
R |
10.389062446485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26070m1 |
Quadratic twists by: -3 |