Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62700s |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
2554552242000 = 24 · 34 · 53 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17593353,28409311602] |
[a1,a2,a3,a4,a6] |
Generators |
[2466:3762:1] |
Generators of the group modulo torsion |
j |
301119992593780785594368/1277276121 |
j-invariant |
L |
5.1571252520108 |
L(r)(E,1)/r! |
Ω |
0.38826582897378 |
Real period |
R |
0.55343582360602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62700bq1 |
Quadratic twists by: 5 |