Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15180l |
Isogeny class |
Conductor |
15180 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4596450401945952000 = 28 · 36 · 53 · 113 · 236 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-996836,-369258540] |
[a1,a2,a3,a4,a6] |
Generators |
[-197325170:1290019653:343000] |
Generators of the group modulo torsion |
j |
427912845708615075664/17954884382601375 |
j-invariant |
L |
6.0704780113486 |
L(r)(E,1)/r! |
Ω |
0.15148415414942 |
Real period |
R |
13.357784395414 |
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 |
60720bm4 45540y4 75900f4 |
Quadratic twists by: -4 -3 5 |