Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990l |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-755697600 = -1 · 26 · 34 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,108,1296] |
[a1,a2,a3,a4,a6] |
Generators |
[0:36:1] |
Generators of the group modulo torsion |
j |
400315553/2203200 |
j-invariant |
L |
3.3099692475501 |
L(r)(E,1)/r! |
Ω |
1.153348034085 |
Real period |
R |
0.71746973804314 |
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 |
74970cv1 124950hz1 24990ba1 |
Quadratic twists by: -3 5 -7 |