Atkin-Lehner |
2+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
87374h |
Isogeny class |
Conductor |
87374 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
26347763129010148 = 22 · 73 · 797 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 0 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3527335,-2548977207] |
[a1,a2,a3,a4,a6] |
Generators |
[-154367878928725:75500772733862:142645765625] |
Generators of the group modulo torsion |
j |
19966473067689/108388 |
j-invariant |
L |
6.7884712015647 |
L(r)(E,1)/r! |
Ω |
0.1101635730597 |
Real period |
R |
20.54058045798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1106b1 |
Quadratic twists by: -79 |