Atkin-Lehner |
2+ 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
75118i |
Isogeny class |
Conductor |
75118 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15159936 |
Modular degree for the optimal curve |
Δ |
-3.3224850879527E+22 |
Discriminant |
Eigenvalues |
2+ -3 3 -2 4 1 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8005787,-946884203] |
[a1,a2,a3,a4,a6] |
Generators |
[22266695:1863441897:166375] |
Generators of the group modulo torsion |
j |
383326425227048967/224437811019776 |
j-invariant |
L |
3.3091321630523 |
L(r)(E,1)/r! |
Ω |
0.068662847384173 |
Real period |
R |
12.048481425026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3266a1 |
Quadratic twists by: -23 |