Atkin-Lehner |
3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103341x |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
12341312636416281 = 310 · 77 · 193 · 37 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1809522,936735435] |
[a1,a2,a3,a4,a6] |
Generators |
[627:6669:1] |
Generators of the group modulo torsion |
j |
5569639549110611857/104899426569 |
j-invariant |
L |
5.8302056409255 |
L(r)(E,1)/r! |
Ω |
0.36850728522243 |
Real period |
R |
1.0547427255461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999398627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14763d1 |
Quadratic twists by: -7 |