Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2240n |
Isogeny class |
Conductor |
2240 |
Conductor |
∏ cp |
55 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-52521875000000 = -1 · 26 · 511 · 75 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- -1 1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7478,244186] |
[a1,a2,a3,a4,a6] |
Generators |
[257:4375:1] |
Generators of the group modulo torsion |
j |
722603599520256/820654296875 |
j-invariant |
L |
2.1091465973115 |
L(r)(E,1)/r! |
Ω |
0.4203647503497 |
Real period |
R |
0.091225822144261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2240i1 1120e1 20160bo1 11200l1 |
Quadratic twists by: -4 8 -3 5 |