Atkin-Lehner |
2+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
7742h |
Isogeny class |
Conductor |
7742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-6528890783744 = -1 · 211 · 79 · 79 |
Discriminant |
Eigenvalues |
2+ -3 2 7- -3 -5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6526,-235628] |
[a1,a2,a3,a4,a6] |
Generators |
[121:797:1] |
Generators of the group modulo torsion |
j |
-261284780457/55494656 |
j-invariant |
L |
1.8116384573382 |
L(r)(E,1)/r! |
Ω |
0.26259868881892 |
Real period |
R |
1.7247215375354 |
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 |
61936o1 69678bp1 1106c1 |
Quadratic twists by: -4 -3 -7 |