Atkin-Lehner |
2+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76874l |
Isogeny class |
Conductor |
76874 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-897770241536 = -1 · 29 · 75 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- -2 3 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-269,-45731] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-498:1] |
Generators of the group modulo torsion |
j |
-7492088377/3106471424 |
j-invariant |
L |
2.7667950042768 |
L(r)(E,1)/r! |
Ω |
0.39754071306794 |
Real period |
R |
0.69597777392724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76874g1 |
Quadratic twists by: 17 |