Atkin-Lehner |
2- 7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
100912r |
Isogeny class |
Conductor |
100912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1333248 |
Modular degree for the optimal curve |
Δ |
-63013024742506496 = -1 · 226 · 7 · 17 · 534 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -2 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1917571,1022128770] |
[a1,a2,a3,a4,a6] |
Generators |
[802:294:1] |
Generators of the group modulo torsion |
j |
-190378597673833931097/15384039243776 |
j-invariant |
L |
3.4003921627507 |
L(r)(E,1)/r! |
Ω |
0.33346424380565 |
Real period |
R |
5.0985858779054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999830693 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12614b1 |
Quadratic twists by: -4 |