Atkin-Lehner |
3+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
19215a |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
70615125 = 33 · 53 · 73 · 61 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ -1 7 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1053,-13146] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:1:1] |
Generators of the group modulo torsion |
j |
4782390792192/2615375 |
j-invariant |
L |
2.1181605064072 |
L(r)(E,1)/r! |
Ω |
0.83812098965096 |
Real period |
R |
1.2636364752596 |
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 |
19215d1 96075e1 |
Quadratic twists by: -3 5 |