Atkin-Lehner |
2- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
95506k |
Isogeny class |
Conductor |
95506 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
361920 |
Modular degree for the optimal curve |
Δ |
-13528579237696 = -1 · 26 · 175 · 533 |
Discriminant |
Eigenvalues |
2- -2 1 1 -4 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45930,3789028] |
[a1,a2,a3,a4,a6] |
Generators |
[138:-358:1] [128:42:1] |
Generators of the group modulo torsion |
j |
-71975722083173/90870848 |
j-invariant |
L |
12.862116815602 |
L(r)(E,1)/r! |
Ω |
0.70496764458206 |
Real period |
R |
0.30408291109805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95506d1 |
Quadratic twists by: 53 |