Atkin-Lehner |
2- 5+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14630o |
Isogeny class |
Conductor |
14630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
31363062500 = 22 · 56 · 74 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- -2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10371,405565] |
[a1,a2,a3,a4,a6] |
Generators |
[26:379:1] |
Generators of the group modulo torsion |
j |
123363940203646129/31363062500 |
j-invariant |
L |
4.0624932664753 |
L(r)(E,1)/r! |
Ω |
1.1433543592127 |
Real period |
R |
1.7765678828009 |
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 |
117040bm1 73150l1 102410cr1 |
Quadratic twists by: -4 5 -7 |