Atkin-Lehner |
2- 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530ch |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
-2.614994105856E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,270735,-239871345] |
[a1,a2,a3,a4,a6] |
Generators |
[963:-30732:1] |
Generators of the group modulo torsion |
j |
1238798620042199/14760960000000 |
j-invariant |
L |
10.33529348956 |
L(r)(E,1)/r! |
Ω |
0.10397262268224 |
Real period |
R |
0.88753561909878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012481 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930d1 |
Quadratic twists by: -11 |