Atkin-Lehner |
2+ 3+ 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650d |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
300672 |
Modular degree for the optimal curve |
Δ |
-8992670625000 = -1 · 23 · 39 · 57 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 3 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23650,1397500] |
[a1,a2,a3,a4,a6] |
j |
-93632326352929/575530920 |
j-invariant |
L |
1.4704877844309 |
L(r)(E,1)/r! |
Ω |
0.73524372151544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21930bh1 |
Quadratic twists by: 5 |