Atkin-Lehner |
2+ 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61642n |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
22692918426976 = 25 · 77 · 17 · 373 |
Discriminant |
Eigenvalues |
2+ -3 -1 7- 4 0 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11230,399412] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:377:1] [-47:930:1] |
Generators of the group modulo torsion |
j |
1331363033001/192886624 |
j-invariant |
L |
4.774200273987 |
L(r)(E,1)/r! |
Ω |
0.64987465629022 |
Real period |
R |
0.61219501173185 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8806a1 |
Quadratic twists by: -7 |