Atkin-Lehner |
2- 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7410u |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
202737600 = 26 · 33 · 52 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-119806,15951236] |
[a1,a2,a3,a4,a6] |
Generators |
[-394:1622:1] |
Generators of the group modulo torsion |
j |
190177723376764332769/202737600 |
j-invariant |
L |
6.3069337512544 |
L(r)(E,1)/r! |
Ω |
1.1258760911154 |
Real period |
R |
2.8009004725404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
59280be2 22230v2 37050h2 96330bo2 |
Quadratic twists by: -4 -3 5 13 |