Atkin-Lehner |
2+ 3+ 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79050p |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-3486887595000 = -1 · 23 · 34 · 54 · 172 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -1 7 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-678525,214845525] |
[a1,a2,a3,a4,a6] |
Generators |
[465:150:1] |
Generators of the group modulo torsion |
j |
-55276718848470565225/5579020152 |
j-invariant |
L |
3.4355402434184 |
L(r)(E,1)/r! |
Ω |
0.60935361719864 |
Real period |
R |
0.46983395552487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79050bz1 |
Quadratic twists by: 5 |