Atkin-Lehner |
2- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894q |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
710154859008896 = 27 · 78 · 19 · 373 |
Discriminant |
Eigenvalues |
2- 0 -1 7- -5 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39283,-2698797] |
[a1,a2,a3,a4,a6] |
Generators |
[303:3474:1] [-906:4741:8] |
Generators of the group modulo torsion |
j |
56982178438641/6036216704 |
j-invariant |
L |
13.605379854294 |
L(r)(E,1)/r! |
Ω |
0.34144118969926 |
Real period |
R |
0.9487361963082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842l1 |
Quadratic twists by: -7 |