Atkin-Lehner |
2+ 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
94302d |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
-132384002310144 = -1 · 215 · 33 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 4 3 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7827,483237] |
[a1,a2,a3,a4,a6] |
Generators |
[37857:7346808:1] |
Generators of the group modulo torsion |
j |
406869021/1015808 |
j-invariant |
L |
8.161845199349 |
L(r)(E,1)/r! |
Ω |
0.40835007097277 |
Real period |
R |
9.9936865185692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94302bl2 558f1 |
Quadratic twists by: -3 13 |