Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400cs |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1.90670793075E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97560633,-370870269363] |
[a1,a2,a3,a4,a6] |
Generators |
[36214439801478024085512525593:-430957538100163203947348805350:3157646524713170624655919] |
Generators of the group modulo torsion |
j |
-90888126966784/16875 |
j-invariant |
L |
4.3287901663853 |
L(r)(E,1)/r! |
Ω |
0.024018777632094 |
Real period |
R |
45.056312114331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800da1 88200cf1 5880m1 29400dt1 |
Quadratic twists by: -4 -3 5 -7 |