Atkin-Lehner |
2- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111910m |
Isogeny class |
Conductor |
111910 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
deg |
7488000 |
Modular degree for the optimal curve |
Δ |
-4398134994836480000 = -1 · 213 · 54 · 197 · 312 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -4 3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40768640,100176079905] |
[a1,a2,a3,a4,a6] |
Generators |
[97815:-227977:27] [-3707:449493:1] |
Generators of the group modulo torsion |
j |
-159287163738148171081/93486080000 |
j-invariant |
L |
14.66339615475 |
L(r)(E,1)/r! |
Ω |
0.20212636863722 |
Real period |
R |
0.17438866926598 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5890c1 |
Quadratic twists by: -19 |