Atkin-Lehner |
2- 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070cl |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-230822632040 = -1 · 23 · 5 · 79 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11- 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18915,999977] |
[a1,a2,a3,a4,a6] |
j |
-18546494023/5720 |
j-invariant |
L |
5.8280366289259 |
L(r)(E,1)/r! |
Ω |
0.97133944080584 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70070bo1 |
Quadratic twists by: -7 |