Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
101080h |
Isogeny class |
Conductor |
101080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
66575567120720 = 24 · 5 · 72 · 198 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27195,1671898] |
[a1,a2,a3,a4,a6] |
Generators |
[557:12635:1] |
Generators of the group modulo torsion |
j |
2955053056/88445 |
j-invariant |
L |
5.1074112680306 |
L(r)(E,1)/r! |
Ω |
0.61612875160122 |
Real period |
R |
2.0723798592799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011481 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5320g1 |
Quadratic twists by: -19 |