Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075ba |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16892578125 = 32 · 59 · 312 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 -3 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-70783,7224844] |
[a1,a2,a3,a4,a6] |
Generators |
[148:112:1] |
Generators of the group modulo torsion |
j |
2612000948224/1125 |
j-invariant |
L |
6.5919522615344 |
L(r)(E,1)/r! |
Ω |
1.0046122545276 |
Real period |
R |
1.640422021555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14415a2 72075a2 |
Quadratic twists by: 5 -31 |