Atkin-Lehner |
2- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26714s |
Isogeny class |
Conductor |
26714 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
440640 |
Modular degree for the optimal curve |
Δ |
1564926911161696256 = 217 · 199 · 37 |
Discriminant |
Eigenvalues |
2- -2 -1 0 -1 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-753956,244624144] |
[a1,a2,a3,a4,a6] |
Generators |
[828:-14132:1] |
Generators of the group modulo torsion |
j |
1007488615738249/33263845376 |
j-invariant |
L |
5.2846604457473 |
L(r)(E,1)/r! |
Ω |
0.26596289179896 |
Real period |
R |
0.29220465405808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1406c1 |
Quadratic twists by: -19 |