Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950bg |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
951035904000000000 = 220 · 36 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450042,-106199884] |
[a1,a2,a3,a4,a6] |
Generators |
[-467:1633:1] |
Generators of the group modulo torsion |
j |
884984855328729/83492864000 |
j-invariant |
L |
3.7618391153047 |
L(r)(E,1)/r! |
Ω |
0.18544119310875 |
Real period |
R |
5.0714717860735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4550s1 8190bt1 |
Quadratic twists by: -3 5 |