Atkin-Lehner |
2+ 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970h |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-6.9648139464358E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,281202,1268553708] |
[a1,a2,a3,a4,a6] |
Generators |
[5979:462558:1] |
Generators of the group modulo torsion |
j |
11471891565431/3249137107800 |
j-invariant |
L |
1.9234893788109 |
L(r)(E,1)/r! |
Ω |
0.12469172132082 |
Real period |
R |
0.25709931643923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68970bo1 |
Quadratic twists by: -11 |