Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73260ba |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
68290560 |
Modular degree for the optimal curve |
Δ |
-5.9000162117836E+29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-348806352,-37040944631596] |
[a1,a2,a3,a4,a6] |
Generators |
[198653:87938125:1] |
Generators of the group modulo torsion |
j |
-25148342930145744021028864/3161445586732463185546875 |
j-invariant |
L |
6.4251383713167 |
L(r)(E,1)/r! |
Ω |
0.012877916916791 |
Real period |
R |
6.929539420656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24420a1 |
Quadratic twists by: -3 |