Atkin-Lehner |
2- 3+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
7878d |
Isogeny class |
Conductor |
7878 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-94536 = -1 · 23 · 32 · 13 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 0 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20,29] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
-887503681/94536 |
j-invariant |
L |
5.7145983200354 |
L(r)(E,1)/r! |
Ω |
3.2926660442588 |
Real period |
R |
0.28925892894602 |
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 |
63024r1 23634b1 102414e1 |
Quadratic twists by: -4 -3 13 |