Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102300q |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-5351568750000 = -1 · 24 · 34 · 58 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-111312] |
[a1,a2,a3,a4,a6] |
Generators |
[63:375:1] |
Generators of the group modulo torsion |
j |
-16384/21406275 |
j-invariant |
L |
7.3957283068443 |
L(r)(E,1)/r! |
Ω |
0.34965532572476 |
Real period |
R |
0.88131174659748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460a1 |
Quadratic twists by: 5 |