Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123210r |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2154240 |
Modular degree for the optimal curve |
Δ |
-4481453260800 = -1 · 217 · 33 · 52 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 5 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3867219,-2926192075] |
[a1,a2,a3,a4,a6] |
Generators |
[1439412286:411083190597:17576] |
Generators of the group modulo torsion |
j |
-4676825213054616231/3276800 |
j-invariant |
L |
6.5598672532577 |
L(r)(E,1)/r! |
Ω |
0.053829440032021 |
Real period |
R |
15.23299157439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210ci1 123210ch1 |
Quadratic twists by: -3 37 |