Atkin-Lehner |
2+ 3+ 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
11514a |
Isogeny class |
Conductor |
11514 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-8064589824 = -1 · 213 · 33 · 192 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 0 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-376,-5312] |
[a1,a2,a3,a4,a6] |
Generators |
[77:617:1] |
Generators of the group modulo torsion |
j |
-5903244155017/8064589824 |
j-invariant |
L |
3.126587625409 |
L(r)(E,1)/r! |
Ω |
0.51601939461015 |
Real period |
R |
3.0295253027952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92112p1 34542d1 |
Quadratic twists by: -4 -3 |