Atkin-Lehner |
2+ 3- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31302i |
Isogeny class |
Conductor |
31302 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3303168 |
Modular degree for the optimal curve |
Δ |
-5.2144035698019E+21 |
Discriminant |
Eigenvalues |
2+ 3- -4 -3 -4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2193156,3240990544] |
[a1,a2,a3,a4,a6] |
Generators |
[-889:24695:1] |
Generators of the group modulo torsion |
j |
1600311939232066224191/7152816968178204672 |
j-invariant |
L |
1.2939230895643 |
L(r)(E,1)/r! |
Ω |
0.097459847151178 |
Real period |
R |
6.6382368092425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10434h1 |
Quadratic twists by: -3 |