Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072bk |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3538479078418572288 = 210 · 311 · 7 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4289619,-3418409122] |
[a1,a2,a3,a4,a6] |
Generators |
[-410102:375390:343] |
Generators of the group modulo torsion |
j |
11693711849165446468/4740117935553 |
j-invariant |
L |
7.2890012982917 |
L(r)(E,1)/r! |
Ω |
0.10490723483438 |
Real period |
R |
8.6850555493837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000009554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024h4 |
Quadratic twists by: -3 |