Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360bw |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
98730689167360000 = 222 · 54 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-210028,-33823152] |
[a1,a2,a3,a4,a6] |
Generators |
[22178:1150713:8] |
Generators of the group modulo torsion |
j |
3908547377131761/376627690000 |
j-invariant |
L |
3.5844001550919 |
L(r)(E,1)/r! |
Ω |
0.22439341499501 |
Real period |
R |
7.9868657176365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022648 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103360o2 25840bd2 |
Quadratic twists by: -4 8 |