Atkin-Lehner |
5+ 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129115h |
Isogeny class |
Conductor |
129115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
258234260795 = 5 · 78 · 172 · 31 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 0 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40385,-3113594] |
[a1,a2,a3,a4,a6] |
Generators |
[50370:46159:216] |
Generators of the group modulo torsion |
j |
61915841915481/2194955 |
j-invariant |
L |
4.3913515564622 |
L(r)(E,1)/r! |
Ω |
0.33677896085264 |
Real period |
R |
6.5196349374505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995393581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18445c2 |
Quadratic twists by: -7 |