Atkin-Lehner |
2+ 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050h |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-47462215680000000 = -1 · 218 · 36 · 57 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51650,11392500] |
[a1,a2,a3,a4,a6] |
j |
-975276594443809/3037581803520 |
j-invariant |
L |
1.2582383026589 |
L(r)(E,1)/r! |
Ω |
0.31455957566478 |
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 |
84150fq1 5610be1 |
Quadratic twists by: -3 5 |