Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968bl |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
877893781008384 = 212 · 37 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -2 1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74545,-7678271] |
[a1,a2,a3,a4,a6] |
Generators |
[401:5172:1] |
Generators of the group modulo torsion |
j |
1940174656/37179 |
j-invariant |
L |
5.9136489857234 |
L(r)(E,1)/r! |
Ω |
0.28926770150209 |
Real period |
R |
5.1108790851235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968s1 79968ck1 |
Quadratic twists by: -4 -7 |