Atkin-Lehner |
2- 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107996c |
Isogeny class |
Conductor |
107996 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-15450035627264 = -1 · 28 · 78 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 1 -5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-130356,-18159772] |
[a1,a2,a3,a4,a6] |
Generators |
[436:2842:1] |
Generators of the group modulo torsion |
j |
-8133770514256/512981 |
j-invariant |
L |
5.4253228446573 |
L(r)(E,1)/r! |
Ω |
0.12562754752369 |
Real period |
R |
3.5988144744197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15428a1 |
Quadratic twists by: -7 |