Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560cg |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-6997575467008000 = -1 · 233 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -3 7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104641,-13671105] |
[a1,a2,a3,a4,a6] |
Generators |
[38441530:1491457735:24389] |
Generators of the group modulo torsion |
j |
-483385461758641/26693632000 |
j-invariant |
L |
3.7600157172916 |
L(r)(E,1)/r! |
Ω |
0.1322977904265 |
Real period |
R |
14.210425227701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560q1 10640v1 |
Quadratic twists by: -4 8 |