Atkin-Lehner |
2+ 3+ 7+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42294b |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
53305839422527272 = 23 · 3 · 75 · 196 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2143722,-1208936820] |
[a1,a2,a3,a4,a6] |
Generators |
[67593:-2612527:27] |
Generators of the group modulo torsion |
j |
1089505491198691925955241/53305839422527272 |
j-invariant |
L |
1.2868353111261 |
L(r)(E,1)/r! |
Ω |
0.12476957248938 |
Real period |
R |
10.313694961448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882bh2 |
Quadratic twists by: -3 |