Atkin-Lehner |
2+ 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736d |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-27465833299968 = -1 · 214 · 39 · 7 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -5 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7344,-69984] |
[a1,a2,a3,a4,a6] |
Generators |
[5778:156357:8] |
Generators of the group modulo torsion |
j |
135834624/85169 |
j-invariant |
L |
4.890935771595 |
L(r)(E,1)/r! |
Ω |
0.38350547938129 |
Real period |
R |
6.3766178604335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999852815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736do1 11592h1 92736i1 |
Quadratic twists by: -4 8 -3 |