Atkin-Lehner |
2+ 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
100928h |
Isogeny class |
Conductor |
100928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
-4497380514725888 = -1 · 235 · 19 · 832 |
Discriminant |
Eigenvalues |
2+ -1 -4 1 0 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113185,15045281] |
[a1,a2,a3,a4,a6] |
Generators |
[473:-8192:1] [143:1328:1] |
Generators of the group modulo torsion |
j |
-611722215487369/17156145152 |
j-invariant |
L |
7.6056912688334 |
L(r)(E,1)/r! |
Ω |
0.43434362105972 |
Real period |
R |
2.1888462555925 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100928u1 3154a1 |
Quadratic twists by: -4 8 |