Atkin-Lehner |
2- 3+ 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
62118ba |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-1622330156740608 = -1 · 212 · 39 · 74 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,29374,-29375] |
[a1,a2,a3,a4,a6] |
Generators |
[55:1295:1] |
Generators of the group modulo torsion |
j |
142408381989861/82422910976 |
j-invariant |
L |
7.2830354295258 |
L(r)(E,1)/r! |
Ω |
0.28281966528366 |
Real period |
R |
1.0729798765977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000267 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62118c1 |
Quadratic twists by: -3 |