Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200cc |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
18689508479692800 = 212 · 311 · 52 · 1013 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -2 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71688,-3340368] |
[a1,a2,a3,a4,a6] |
Generators |
[-2058:34946:27] |
Generators of the group modulo torsion |
j |
397895664015985/182514731247 |
j-invariant |
L |
7.3214681701527 |
L(r)(E,1)/r! |
Ω |
0.30478735472346 |
Real period |
R |
4.0035935543148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7575f1 121200ee1 |
Quadratic twists by: -4 5 |