Atkin-Lehner |
2+ 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100510d |
Isogeny class |
Conductor |
100510 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
74395436016950 = 2 · 52 · 19 · 238 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 5 -5 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-137639,19684495] |
[a1,a2,a3,a4,a6] |
Generators |
[2118:9521:8] |
Generators of the group modulo torsion |
j |
3682369161/950 |
j-invariant |
L |
4.8783809203153 |
L(r)(E,1)/r! |
Ω |
0.59845469913258 |
Real period |
R |
1.3586048987567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100510b1 |
Quadratic twists by: -23 |