Atkin-Lehner |
2+ 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710a |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
375840 |
Modular degree for the optimal curve |
Δ |
-220136718750 = -1 · 2 · 3 · 510 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40848,3160758] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:1668:1] |
Generators of the group modulo torsion |
j |
-26082839807821801/761718750 |
j-invariant |
L |
3.3063980626673 |
L(r)(E,1)/r! |
Ω |
0.9272545712227 |
Real period |
R |
1.7828966291739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998906038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710bm1 |
Quadratic twists by: 17 |