Atkin-Lehner |
2+ 3+ 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
40290d |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3893760 |
Modular degree for the optimal curve |
Δ |
-76267919905614000 = -1 · 24 · 36 · 53 · 17 · 795 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 -6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-62159573,-188655634467] |
[a1,a2,a3,a4,a6] |
Generators |
[292406:157913363:1] |
Generators of the group modulo torsion |
j |
-26561206018847136911449692889/76267919905614000 |
j-invariant |
L |
2.6975021875969 |
L(r)(E,1)/r! |
Ω |
0.026883917402588 |
Real period |
R |
5.016944047254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120870bj1 |
Quadratic twists by: -3 |