Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672cs |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
182626907127808 = 216 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 1 4 2 11- 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19521,817727] |
[a1,a2,a3,a4,a6] |
Generators |
[644007:46222840:59319] |
Generators of the group modulo torsion |
j |
58564/13 |
j-invariant |
L |
12.408670281115 |
L(r)(E,1)/r! |
Ω |
0.53662973735636 |
Real period |
R |
11.561668520124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672u1 25168j1 100672ds1 |
Quadratic twists by: -4 8 -11 |