Atkin-Lehner |
5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
70805w |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
198072 |
Modular degree for the optimal curve |
Δ |
-117963076358645 = -1 · 5 · 710 · 174 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- 4 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14456,847685] |
[a1,a2,a3,a4,a6] |
Generators |
[41:549:1] |
Generators of the group modulo torsion |
j |
-14161/5 |
j-invariant |
L |
4.8017362690352 |
L(r)(E,1)/r! |
Ω |
0.55605322509706 |
Real period |
R |
2.8784632187314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805bc1 70805bi1 |
Quadratic twists by: -7 17 |