Atkin-Lehner |
2- 3+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488x |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1310720 |
Modular degree for the optimal curve |
Δ |
9005812478208 = 28 · 33 · 74 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 2 13+ 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-542463,-153781150] |
[a1,a2,a3,a4,a6] |
Generators |
[446105:26030394:125] |
Generators of the group modulo torsion |
j |
2554055597747949552/1302924259 |
j-invariant |
L |
10.598280350542 |
L(r)(E,1)/r! |
Ω |
0.17591668706351 |
Real period |
R |
7.5307525104546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124488a1 |
Quadratic twists by: -3 |