Atkin-Lehner |
2- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
77420i |
Isogeny class |
Conductor |
77420 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
102384 |
Modular degree for the optimal curve |
Δ |
-5927468750000 = -1 · 24 · 59 · 74 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -3 0 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4508,12201] |
[a1,a2,a3,a4,a6] |
Generators |
[7:210:1] [32:435:1] |
Generators of the group modulo torsion |
j |
263732281344/154296875 |
j-invariant |
L |
10.731741561942 |
L(r)(E,1)/r! |
Ω |
0.45842921936592 |
Real period |
R |
0.28901001718309 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77420d1 |
Quadratic twists by: -7 |