Atkin-Lehner |
5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62465d |
Isogeny class |
Conductor |
62465 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-8592877202218075 = -1 · 52 · 13 · 319 |
Discriminant |
Eigenvalues |
0 2 5+ -4 -3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,37159,3493297] |
[a1,a2,a3,a4,a6] |
Generators |
[331:7207:1] [3679:223432:1] |
Generators of the group modulo torsion |
j |
6393430016/9682075 |
j-invariant |
L |
9.6357562278064 |
L(r)(E,1)/r! |
Ω |
0.28052588808341 |
Real period |
R |
4.2936127453617 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2015b1 |
Quadratic twists by: -31 |