Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710d |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-134471321311098420 = -1 · 22 · 35 · 5 · 117 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11- 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10408,-17652092] |
[a1,a2,a3,a4,a6] |
Generators |
[336:3946:1] |
Generators of the group modulo torsion |
j |
-70393838689/75905555220 |
j-invariant |
L |
3.6965345648652 |
L(r)(E,1)/r! |
Ω |
0.14815269841062 |
Real period |
R |
1.2475420982212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000592 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5610w1 |
Quadratic twists by: -11 |