Atkin-Lehner |
2+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
49400d |
Isogeny class |
Conductor |
49400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
10842707200 = 28 · 52 · 13 · 194 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 -6 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-553,-197] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:38:1] |
Generators of the group modulo torsion |
j |
2927549440/1694173 |
j-invariant |
L |
5.2888894808752 |
L(r)(E,1)/r! |
Ω |
1.0808904493752 |
Real period |
R |
0.30581784929756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800l1 49400y1 |
Quadratic twists by: -4 5 |