Atkin-Lehner |
2- 3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350cl |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-61687500000 = -1 · 25 · 3 · 59 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18638,977892] |
[a1,a2,a3,a4,a6] |
Generators |
[102:324:1] |
Generators of the group modulo torsion |
j |
-366600498893/31584 |
j-invariant |
L |
11.043586254758 |
L(r)(E,1)/r! |
Ω |
1.0578649086145 |
Real period |
R |
1.0439505238148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350m1 |
Quadratic twists by: 5 |