Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498i |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1507138481363508 = 22 · 34 · 72 · 377 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1078801,-431366368] |
[a1,a2,a3,a4,a6] |
Generators |
[1297:18104:1] |
Generators of the group modulo torsion |
j |
54117385890625/587412 |
j-invariant |
L |
6.4047579240684 |
L(r)(E,1)/r! |
Ω |
0.14813734293276 |
Real period |
R |
5.4044086699875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1554l2 |
Quadratic twists by: 37 |