Atkin-Lehner |
2- 7+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23828c |
Isogeny class |
Conductor |
23828 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
271296 |
Modular degree for the optimal curve |
Δ |
-202199334351616 = -1 · 28 · 79 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ -1 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2330837,-1368893599] |
[a1,a2,a3,a4,a6] |
Generators |
[79034651969268444969321252580:-4266567057619234379231068172763:21621786531640825702293568] |
Generators of the group modulo torsion |
j |
-5470407056850732187648/789841149811 |
j-invariant |
L |
5.5891123603857 |
L(r)(E,1)/r! |
Ω |
0.061093015749388 |
Real period |
R |
45.742645798605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95312n1 |
Quadratic twists by: -4 |