Atkin-Lehner |
2- 3+ 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37842q |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
21598061578136064 = 29 · 34 · 76 · 174 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-126139,15674441] |
[a1,a2,a3,a4,a6] |
Generators |
[-353:4222:1] [361:-4346:1] |
Generators of the group modulo torsion |
j |
221958651889805319217/21598061578136064 |
j-invariant |
L |
10.186376543843 |
L(r)(E,1)/r! |
Ω |
0.37164196331841 |
Real period |
R |
0.25378808272803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113526m2 |
Quadratic twists by: -3 |