Atkin-Lehner |
2+ 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
113398c |
Isogeny class |
Conductor |
113398 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1149120 |
Modular degree for the optimal curve |
Δ |
-27453144264343552 = -1 · 219 · 316 · 59 |
Discriminant |
Eigenvalues |
2+ -2 2 -3 -1 -3 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,53315,6415128] |
[a1,a2,a3,a4,a6] |
Generators |
[-786:4233:8] |
Generators of the group modulo torsion |
j |
18884848247/30932992 |
j-invariant |
L |
1.8536576659349 |
L(r)(E,1)/r! |
Ω |
0.25589232775042 |
Real period |
R |
3.6219484356561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000180998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118d1 |
Quadratic twists by: -31 |