Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bc |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
75202560 |
Modular degree for the optimal curve |
Δ |
-5.660297838826E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2143678748,-38373422912422] |
[a1,a2,a3,a4,a6] |
Generators |
[1409713433453166327286989240078346436977346441589:556695156107051595100953935883720915307230026773219:8279996511997841414246189025539041544186053] |
Generators of the group modulo torsion |
j |
-9186763300983704416553/47730830553907200 |
j-invariant |
L |
6.300227459027 |
L(r)(E,1)/r! |
Ω |
0.011090335668451 |
Real period |
R |
71.010333310214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60690l1 |
Quadratic twists by: 17 |