Atkin-Lehner |
5- 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
31175c |
Isogeny class |
Conductor |
31175 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
63000 |
Modular degree for the optimal curve |
Δ |
-26119291796875 = -1 · 58 · 292 · 433 |
Discriminant |
Eigenvalues |
0 -2 5- -4 0 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,7417,7119] |
[a1,a2,a3,a4,a6] |
Generators |
[714:9421:8] |
Generators of the group modulo torsion |
j |
115502120960/66865387 |
j-invariant |
L |
2.0454737177739 |
L(r)(E,1)/r! |
Ω |
0.40056744383686 |
Real period |
R |
2.5532201246576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
31175a1 |
Quadratic twists by: 5 |