Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49818x |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
3991680 |
Modular degree for the optimal curve |
Δ |
95843575528953192 = 23 · 33 · 194 · 237 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 2 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12253250,16504050791] |
[a1,a2,a3,a4,a6] |
Generators |
[2867:68923:1] |
Generators of the group modulo torsion |
j |
1561216719962882872081/735442296552 |
j-invariant |
L |
6.6347437787612 |
L(r)(E,1)/r! |
Ω |
0.27581034799466 |
Real period |
R |
0.38183263999624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49818s1 |
Quadratic twists by: -19 |