Atkin-Lehner |
2+ 3- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37506o |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-2876645453692248 = -1 · 23 · 312 · 73 · 19 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,31384,-1439314] |
[a1,a2,a3,a4,a6] |
Generators |
[630:9551:8] |
Generators of the group modulo torsion |
j |
3418759020573146375/2876645453692248 |
j-invariant |
L |
5.6804330332103 |
L(r)(E,1)/r! |
Ω |
0.24979771245652 |
Real period |
R |
1.8950110262382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
112518bl1 |
Quadratic twists by: -3 |