Atkin-Lehner |
2+ 3+ 5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
40170b |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
83520 |
Modular degree for the optimal curve |
Δ |
-375991200 = -1 · 25 · 33 · 52 · 132 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -3 13- -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19928,1074528] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-7:1] |
Generators of the group modulo torsion |
j |
-875283833482768009/375991200 |
j-invariant |
L |
2.2049632546689 |
L(r)(E,1)/r! |
Ω |
1.3793224032957 |
Real period |
R |
0.39964609604713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120510bl1 |
Quadratic twists by: -3 |