Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070ba |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
67415040 |
Modular degree for the optimal curve |
Δ |
5.4786293501696E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1948618885,-31135157021173] |
[a1,a2,a3,a4,a6] |
Generators |
[-425086756880677:-20484543715673748:19184262733] |
Generators of the group modulo torsion |
j |
318929057401476905525449/21353131537921474560 |
j-invariant |
L |
7.0982411409976 |
L(r)(E,1)/r! |
Ω |
0.02281873131884 |
Real period |
R |
14.139582086431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123210bj1 1110c1 |
Quadratic twists by: -3 37 |