Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110h |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12579840 |
Modular degree for the optimal curve |
Δ |
3.735899841023E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-446597197,2132451124189] |
[a1,a2,a3,a4,a6] |
Generators |
[121558039198276535101933830:9183790307231054112825416573:25743241035648650226159] |
Generators of the group modulo torsion |
j |
244112114391139785383263/92579080750403420160 |
j-invariant |
L |
3.0712667754156 |
L(r)(E,1)/r! |
Ω |
0.040370545189269 |
Real period |
R |
38.03846047925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330ds1 95550jv1 19110y1 |
Quadratic twists by: -3 5 -7 |