Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35322k |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
331200 |
Modular degree for the optimal curve |
Δ |
-18186487051025664 = -1 · 28 · 315 · 7 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -5 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-64774,9048340] |
[a1,a2,a3,a4,a6] |
Generators |
[60:2290:1] |
Generators of the group modulo torsion |
j |
-42495637383193/25713241344 |
j-invariant |
L |
4.3558905271098 |
L(r)(E,1)/r! |
Ω |
0.35908263352792 |
Real period |
R |
2.0217679351009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105966ck1 35322bg1 |
Quadratic twists by: -3 29 |