Atkin-Lehner |
2- 3+ 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
70452b |
Isogeny class |
Conductor |
70452 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15744 |
Modular degree for the optimal curve |
Δ |
16063056 = 24 · 33 · 192 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 4 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,225] |
[a1,a2,a3,a4,a6] |
Generators |
[0:15:1] |
Generators of the group modulo torsion |
j |
151732224/37183 |
j-invariant |
L |
7.7337114746385 |
L(r)(E,1)/r! |
Ω |
2.0678036402857 |
Real period |
R |
1.2466869554331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000537 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70452d1 |
Quadratic twists by: -3 |