Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990bm |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-7344121176000 = -1 · 26 · 33 · 53 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1224,129849] |
[a1,a2,a3,a4,a6] |
j |
1723683599/62424000 |
j-invariant |
L |
3.3716585619599 |
L(r)(E,1)/r! |
Ω |
0.56194309366002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970bq1 124950cq1 510g1 |
Quadratic twists by: -3 5 -7 |