Atkin-Lehner |
2+ 3- 5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
102510h |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3179520 |
Modular degree for the optimal curve |
Δ |
-2.1486387126606E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1489599,-734071707] |
[a1,a2,a3,a4,a6] |
j |
-501423246078150747889/29473782066675000 |
j-invariant |
L |
1.3619292860827 |
L(r)(E,1)/r! |
Ω |
0.068096458514653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34170n1 |
Quadratic twists by: -3 |