Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990w |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1.6118129819314E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17274339,-27629101538] |
[a1,a2,a3,a4,a6] |
Generators |
[-2404:3774:1] |
Generators of the group modulo torsion |
j |
4845512858070228485401/1370018429337600 |
j-invariant |
L |
4.0867117705194 |
L(r)(E,1)/r! |
Ω |
0.074055371854717 |
Real period |
R |
2.7592270946508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74970dy2 124950fx2 3570i2 |
Quadratic twists by: -3 5 -7 |