Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970dr |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
340 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-746197401600000 = -1 · 217 · 37 · 55 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4243,-1311019] |
[a1,a2,a3,a4,a6] |
Generators |
[111:664:1] |
Generators of the group modulo torsion |
j |
236545752359/20889600000 |
j-invariant |
L |
12.448853745364 |
L(r)(E,1)/r! |
Ω |
0.24048657456101 |
Real period |
R |
0.15225080979635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24990bd1 74970cn1 |
Quadratic twists by: -3 -7 |