Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24360l |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-397356360954336000 = -1 · 28 · 316 · 53 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,165244,-15799056] |
[a1,a2,a3,a4,a6] |
Generators |
[172:4212:1] |
Generators of the group modulo torsion |
j |
1949208139867246256/1552173284977875 |
j-invariant |
L |
5.8864210910767 |
L(r)(E,1)/r! |
Ω |
0.16661512020601 |
Real period |
R |
2.2080908247548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48720g2 73080bl2 121800bh2 |
Quadratic twists by: -4 -3 5 |