Atkin-Lehner |
2- 3- 5- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
78210bs |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-758870847900 = -1 · 22 · 38 · 52 · 114 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3497,90821] |
[a1,a2,a3,a4,a6] |
Generators |
[19:166:1] |
Generators of the group modulo torsion |
j |
-6485846213449/1040975100 |
j-invariant |
L |
12.451306718711 |
L(r)(E,1)/r! |
Ω |
0.8664444537006 |
Real period |
R |
1.7963221222785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995561 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26070i1 |
Quadratic twists by: -3 |