Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630cg |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-102373872670440 = -1 · 23 · 37 · 5 · 79 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6124,453053] |
[a1,a2,a3,a4,a6] |
Generators |
[559:13097:1] |
Generators of the group modulo torsion |
j |
629422793/2536920 |
j-invariant |
L |
7.7728254309229 |
L(r)(E,1)/r! |
Ω |
0.42595663755043 |
Real period |
R |
3.0413210898706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890da1 42630df1 |
Quadratic twists by: -3 -7 |