Atkin-Lehner |
5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31265g |
Isogeny class |
Conductor |
31265 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
4364341367267123125 = 54 · 1310 · 373 |
Discriminant |
Eigenvalues |
-2 1 5- 1 1 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-933950,332233906] |
[a1,a2,a3,a4,a6] |
Generators |
[95:15632:1] |
Generators of the group modulo torsion |
j |
18665298626719744/904187708125 |
j-invariant |
L |
3.4093772783354 |
L(r)(E,1)/r! |
Ω |
0.24265325980804 |
Real period |
R |
0.58543366246012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2405a1 |
Quadratic twists by: 13 |