Atkin-Lehner |
2+ 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
103090h |
Isogeny class |
Conductor |
103090 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-26391040 = -1 · 29 · 5 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-368,-2754] |
[a1,a2,a3,a4,a6] |
Generators |
[212:2969:1] |
Generators of the group modulo torsion |
j |
-32485001809/156160 |
j-invariant |
L |
2.9474865026261 |
L(r)(E,1)/r! |
Ω |
0.54503474027199 |
Real period |
R |
5.4078873825435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103090m1 |
Quadratic twists by: 13 |