Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372p |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1.8283418273677E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,419571,-177284862] |
[a1,a2,a3,a4,a6] |
Generators |
[51982082:508337466:148877] |
Generators of the group modulo torsion |
j |
899022848/2012283 |
j-invariant |
L |
4.0372726811357 |
L(r)(E,1)/r! |
Ω |
0.11306156821286 |
Real period |
R |
8.9271552217529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196n1 7644c1 |
Quadratic twists by: -7 13 |