Atkin-Lehner |
3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
2115k |
Isogeny class |
Conductor |
2115 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-85147837875 = -1 · 38 · 53 · 473 |
Discriminant |
Eigenvalues |
0 3- 5- 2 6 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-732,15975] |
[a1,a2,a3,a4,a6] |
j |
-59501707264/116800875 |
j-invariant |
L |
1.9213961034341 |
L(r)(E,1)/r! |
Ω |
0.96069805171705 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33840ck2 705c2 10575f2 103635m2 |
Quadratic twists by: -4 -3 5 -7 |