Atkin-Lehner |
2+ 3+ 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
113712c |
Isogeny class |
Conductor |
113712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
47748123648 = 210 · 39 · 23 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 3 1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9392,353328] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:610:1] |
Generators of the group modulo torsion |
j |
89483764724932/46629027 |
j-invariant |
L |
8.3069902964969 |
L(r)(E,1)/r! |
Ω |
1.1166500162454 |
Real period |
R |
3.7196033236814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000087717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56856d1 |
Quadratic twists by: -4 |