Atkin-Lehner |
2+ 3- 5- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870o |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-7483951813754880 = -1 · 221 · 312 · 5 · 17 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 3 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,17721,4057533] |
[a1,a2,a3,a4,a6] |
Generators |
[13236:253635:64] |
Generators of the group modulo torsion |
j |
844203357554831/10266051870720 |
j-invariant |
L |
7.2884504855007 |
L(r)(E,1)/r! |
Ω |
0.30840579482588 |
Real period |
R |
5.9081658989729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000117113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40290z1 |
Quadratic twists by: -3 |