Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300cp |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
38167200 |
Modular degree for the optimal curve |
Δ |
-4.6557784395176E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1688742958,26710641633713] |
[a1,a2,a3,a4,a6] |
Generators |
[23708:4875:1] |
Generators of the group modulo torsion |
j |
-2779894628096/243 |
j-invariant |
L |
8.2570360193747 |
L(r)(E,1)/r! |
Ω |
0.086810916493475 |
Real period |
R |
3.170506028358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108300bb1 108300x1 |
Quadratic twists by: 5 -19 |