Atkin-Lehner |
2+ 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350z |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
360000 |
Modular degree for the optimal curve |
Δ |
-1174221562500000 = -1 · 25 · 35 · 510 · 7 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -3 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80326,-8922952] |
[a1,a2,a3,a4,a6] |
Generators |
[328:47:1] |
Generators of the group modulo torsion |
j |
-5869273120225/120240288 |
j-invariant |
L |
4.1860225732427 |
L(r)(E,1)/r! |
Ω |
0.14162148185253 |
Real period |
R |
2.9557822150056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350bv1 |
Quadratic twists by: 5 |