Atkin-Lehner |
2- 3+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678s |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
-10740213743616 = -1 · 221 · 33 · 74 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 0 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5356,-47113] |
[a1,a2,a3,a4,a6] |
Generators |
[9:37:1] |
Generators of the group modulo torsion |
j |
262159444701/165675008 |
j-invariant |
L |
7.0366863939277 |
L(r)(E,1)/r! |
Ω |
0.41399822843532 |
Real period |
R |
1.2140642692151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000944 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
69678b2 69678u1 |
Quadratic twists by: -3 -7 |