Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680ca |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.0677653480705E+30 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2523957864,-9468837577836] |
[a1,a2,a3,a4,a6] |
Generators |
[54662710015431137366031413658623973684:31380533986749689793573983044581731589114:169860010644321216400965617931707] |
Generators of the group modulo torsion |
j |
434120270561159520724043364071/260684899431265397127600000 |
j-invariant |
L |
7.8473057071689 |
L(r)(E,1)/r! |
Ω |
0.016083547134805 |
Real period |
R |
60.988611759955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000059885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210d4 |
Quadratic twists by: -4 |