Atkin-Lehner |
2+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
76472b |
Isogeny class |
Conductor |
76472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
2098233900522496 = 210 · 1110 · 79 |
Discriminant |
Eigenvalues |
2+ 3 3 -1 11- -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40051,-2158882] |
[a1,a2,a3,a4,a6] |
Generators |
[-31472793:38692412:531441] |
Generators of the group modulo torsion |
j |
3916586628/1156639 |
j-invariant |
L |
14.495018560023 |
L(r)(E,1)/r! |
Ω |
0.34514465372475 |
Real period |
R |
10.499234453298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6952b1 |
Quadratic twists by: -11 |