Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2940c |
Isogeny class |
Conductor |
2940 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
98059265010000 = 24 · 35 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30641,-1998534] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:125:1] |
Generators of the group modulo torsion |
j |
4927700992/151875 |
j-invariant |
L |
2.6198115118548 |
L(r)(E,1)/r! |
Ω |
0.36152796691456 |
Real period |
R |
2.4154991698276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11760ci1 47040dq1 8820bc1 14700bm1 |
Quadratic twists by: -4 8 -3 5 |