Atkin-Lehner |
2+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032i |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-10307934784 = -1 · 26 · 76 · 372 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-539,6860] |
[a1,a2,a3,a4,a6] |
Generators |
[21340:64380:1331] |
Generators of the group modulo torsion |
j |
-2299968/1369 |
j-invariant |
L |
7.3964818522888 |
L(r)(E,1)/r! |
Ω |
1.1911835653956 |
Real period |
R |
6.2093551790166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116032h1 58016a2 2368e1 |
Quadratic twists by: -4 8 -7 |