Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
72828d |
Isogeny class |
Conductor |
72828 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-81534733056 = -1 · 28 · 33 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -3 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,816,10404] |
[a1,a2,a3,a4,a6] |
Generators |
[36:294:1] [0:102:1] |
Generators of the group modulo torsion |
j |
1769472/2401 |
j-invariant |
L |
8.2092805466602 |
L(r)(E,1)/r! |
Ω |
0.73010130199937 |
Real period |
R |
0.4685012273972 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72828c1 72828g1 |
Quadratic twists by: -3 17 |