Atkin-Lehner |
2- 3+ 5- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
78210w |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11392 |
Modular degree for the optimal curve |
Δ |
-234630 = -1 · 2 · 33 · 5 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- -4 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17,39] |
[a1,a2,a3,a4,a6] |
Generators |
[22:9:8] |
Generators of the group modulo torsion |
j |
-19034163/8690 |
j-invariant |
L |
13.082287626793 |
L(r)(E,1)/r! |
Ω |
2.9285912559179 |
Real period |
R |
2.233546180335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78210b1 |
Quadratic twists by: -3 |