Atkin-Lehner |
2+ 3- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79050v |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
257280 |
Modular degree for the optimal curve |
Δ |
-340162031250 = -1 · 2 · 35 · 57 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 -4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39001,2961398] |
[a1,a2,a3,a4,a6] |
Generators |
[112:-19:1] [-18:1921:1] |
Generators of the group modulo torsion |
j |
-419870059539841/21770370 |
j-invariant |
L |
8.4961632766755 |
L(r)(E,1)/r! |
Ω |
0.90700948075447 |
Real period |
R |
0.23418066340392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810p1 |
Quadratic twists by: 5 |