Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2240h |
Isogeny class |
Conductor |
2240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-109760 = -1 · 26 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 1 -3 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15,-23] |
[a1,a2,a3,a4,a6] |
j |
-6229504/1715 |
j-invariant |
L |
1.1892837977196 |
L(r)(E,1)/r! |
Ω |
1.1892837977196 |
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 |
2240l1 1120b1 20160ba1 11200r1 |
Quadratic twists by: -4 8 -3 5 |