Atkin-Lehner |
2+ 3+ 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79050o |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-145135800000000 = -1 · 29 · 34 · 58 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -1 -1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2575,-582875] |
[a1,a2,a3,a4,a6] |
Generators |
[181:2128:1] |
Generators of the group modulo torsion |
j |
-4836808345/371547648 |
j-invariant |
L |
3.0323241715998 |
L(r)(E,1)/r! |
Ω |
0.25586346440661 |
Real period |
R |
2.9628342792079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79050by1 |
Quadratic twists by: 5 |