Atkin-Lehner |
5- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
129115u |
Isogeny class |
Conductor |
129115 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
121095748046875 = 59 · 76 · 17 · 31 |
Discriminant |
Eigenvalues |
-1 -1 5- 7- -6 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44150,3512760] |
[a1,a2,a3,a4,a6] |
Generators |
[18978:112903:216] [-132:2723:1] |
Generators of the group modulo torsion |
j |
80896216567249/1029296875 |
j-invariant |
L |
6.2111871241222 |
L(r)(E,1)/r! |
Ω |
0.59082124851236 |
Real period |
R |
0.58404458408723 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000028482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2635a1 |
Quadratic twists by: -7 |