Atkin-Lehner |
2- 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224bh |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
9197728848 = 24 · 36 · 73 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2073,-35352] |
[a1,a2,a3,a4,a6] |
Generators |
[7412:638066:1] |
Generators of the group modulo torsion |
j |
61604313088000/574858053 |
j-invariant |
L |
5.4617933112522 |
L(r)(E,1)/r! |
Ω |
0.70790809309833 |
Real period |
R |
7.7153988844092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17556m1 |
Quadratic twists by: -4 |