Atkin-Lehner |
2+ 3- 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150be |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
28900800 |
Modular degree for the optimal curve |
Δ |
1.0680508953925E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-251191201,1532309615048] |
[a1,a2,a3,a4,a6] |
j |
4487215654498648835147305/27342102922046748 |
j-invariant |
L |
3.4250805576968 |
L(r)(E,1)/r! |
Ω |
0.11416935804643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
117150bl1 |
Quadratic twists by: 5 |