Atkin-Lehner |
3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925y |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5246208 |
Modular degree for the optimal curve |
Δ |
-1.5641006569805E+19 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -4 -7 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,495192,134804018] |
[a1,a2,a3,a4,a6] |
j |
2505702744756224/2918438543637 |
j-invariant |
L |
0.29467962327891 |
L(r)(E,1)/r! |
Ω |
0.14733952102777 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4557l1 113925co1 |
Quadratic twists by: 5 -7 |